1. math

    Calculus Question: Find the derivative of this function: g(x)=ln(ln(x+1))+e^(x^(3/2)+(x/3)) Teacher didn't show how to do a problem like this and my book doesn't show anything like it either. Any help with this will be greatly appreciated.
  2. Calc

    a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx= ? My teacher says the answers are a) (2x)/(x^2-1) and b) 4/x I am not sure how you find the derivative when they involve ln. Could you please explain to me how to get these answers? I
  3. Calculus

    Use a symbolic differentiation utility to find the derivative of the function g(x)=xã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any
  4. Math- steve? reiny?

    1. Let f(x)=x^5 + 2x^3 + x - 1 Find f^-1(3) and (f^-1)'(3)? I have zero idea how to find the inverse of this function at a point 3, and how to take derivative of an inverse. 2.Let f(x)=cosx + 3x Show that f(x) is a differentiable inverse and find f^-1(1)
  5. calculus

    A) How do you prove that if 0(
  6. inverse

    If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means f inverse of 1 doesn't
  7. math

    For what intervals is g(x) = 1/x2 + 1 concave down? (Enter your answer using interval notation.) For this question I understand that we have to find where the second derivative is negative. So first I found the first derivative and got 2x/x^4+2x^2+1 and
  8. calc

    d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the
  9. CALC 1

    Suppose that h is a function with h'(x) = xe^x. Find all intervals where the function h is concave up. Now, I understand that concavity is determined by the second derivative, so what my question here is, is it just taking the first derivative and then
  10. calculus

    Quadratic function written in standard form where a, b, and c are constants such that a is not zero. f(x)= ax^2+bx+c Using calculus find the vertex of the parabola formed by this quadratic function. Determine under what conditions this vertex is a maximum
  11. Calculus AP need help!

    Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. If f(x)= ∫(4,x^3)√(t^2+10) dt then f '(x).
  12. math

    Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = e^(3t^2) − 3t dt from 4 to x
  13. Further maths

    But i need a more detail explanation find the derivative function of the differential calculus (2x+3)^3(4x^2-1)^2
  14. Calculus

    This is going to be pretty hard to show as text since it would be easier for me to post a picture of the question. The question has f(x) = x/4^2 - (2x^3)/4^4 + (3x^5)/4^6 + ... . I am trying to find out the value of f(2). There is a hint to differentiate
  15. Calculus

    Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
  16. Calculus Please Need Urgent3 :/

    Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. F(x)= (s^2)/(1+3s^4)ds from sqrtx to 1 F'(x)=? Thank you so much guys!
  17. Math

    Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function h(x)=integral [2,1/x]sin^4t dt
  18. Calc

    Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
  19. unique solution

    How do I show that the equation x^4 + 3x + 1 = 0, -2
  20. CALCULUS

    what is the derivative of ln(x-1)? If you are studying the calculus of logarithms your question surprises me, since that is one of the most basic ones in that topic. in general if y = ln("anything") then y' = 1/"anything" * derivative of "anything" just
  21. Calc AB

    Remember that f(x) must be one-to-one (only one y-value for each x-value) over the domain where f –1(x)is defined as a function. So, in some cases you must restrict the domain of f(x) so that it's one-to-one. There might be more than one section of
  22. Algebra

    How do you know which rule to use when it doesn't specify? All it says is find the derivative of the function. I haven't had algebra/calculus in over 20 years, I'm completely lost. Please help
  23. business math

    How do you know which rule to use when it doesn't specify? All it says is find the derivative of the function. I haven't had algebra/calculus in over 20 years, I'm completely lost. Please help.
  24. Craig - baloon - calculus moved up

    Posted by Craig on Tuesday, November 25, 2008 at 7:54pm. t: 0 2 5 7 11 12 r'(t): 5.7 4.0 2.0 1.2 0.6 0.5 The volume of a spherical hot air balloon expands as the air inside the balloon is heated. The radius of the balloon in feet is modeled by a
  25. year 8 re-Re teachers

    i posted this question before but can`t see it on the page.sorry if it is there. please could someone help me i need to write an essay for re . i don`t really understand what to do. if someone could explain the question id be very grateful.We had a supply
  26. Calc (Derivatives)

    I understand finding the derivative and there is a simpler way of doing so, however, can someone show you derive at these answers by the DEF'N of Derivatives? Much appreciated! Question 1: Find, from the definition, the derivative, f'(x), for
  27. Calculus

    Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection points Please show
  28. Calculus

    Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection points Please show
  29. Calculus

    How many critical points does the function f(x) = [(x-2)^5][(x+3)^4] have? A. 1 B. 2 C. 3 D. 5 E. 9 --- Ok, these are my thoughts on this question: My impulse was to do derivative of the function. However, if I'm going to set the function equal to zero to
  30. calculus

    A) How do you prove that if 0(
  31. Multivariable calculus

    Hello, I have the next exercise about chain rule in multivariable calculus: I have to show that the differential equation: y(dz/dx)-x(dz/dy) = (y-x)z can be change to the equation: (dw/dv) = 0 using the new variables: u= (x^2)+(y^2) v = (1/x)+(1/y) w =
  32. Calculus

    Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative Please show me how u got this!!
  33. Quantum mechanics, eigenfunctions!

    Determine if the function sin(x)*e^(ax) where a=constant is an eigenfunction of the operators d/dx and d^2/(dx)^2 Okay. My understanding is that you use the operator and perform its "thing" on the function. In this case, you will have to find the 1st
  34. Calculus

    Find the derivative of the function using the definition of a derivative. F(x)=squareroot(1-3x) Please show work for understanding, thank you! :)
  35. Math

    find the derivative of x^3-6x^2+15x+8 and show by completing the square that function has no turning point. I can find derivative but not sure of next step
  36. Calculus

    Use derivative formulas to find the derivative of the function. please show your work h(x)=10^3-25x^6+3x^15
  37. Calculus (Continuity and Differentiability)

    Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not given an explicit function for g', just its graph.) The question then goes on to ask me: Is it possible, impossible, or certain
  38. got a couple of calculus questions

    1. What is the equation of the tangent line to y = 2*x(x - 4)^6 at point (5, 10)? 2. If f(x)=8/(x^2+4) , find the slope of the curve at the point (2, 1). 3. The demand function for an item is given by x=200[1-(p/(p+2))] . At what rate is the demand
  39. CALCULUS!!!

    case 1. Find the absolute maxima and minina values of f(x)=sin2x+cos2x on [0, pie] Specify both the x and y coordinateof the absolute maximum and absolute minimum. Gives answers in exact form. case 2. Use the second derivative test for relative maxima nd
  40. Calculus

    I finished this problem but I wanted some feedback because I don't know if it's entirely correct. Suppose that functions f and g and their derivatives with respect to x have the following values at x=2. f(x)=8 g(x)=2 f'(x)=1/3 g'(x)=-3 Find d/dx of f(g(x))
  41. please help me calc. have test tom

    d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the
  42. Calculus - Find volume of cylinder

    There is a cylindrical tank lying horizontally on the ground, its diameter is 8 feet, and length is 25 feet, the depth of the water currently in the tank is 2 feet. (1 gallon=231 cubic inches) How many gallons of water are in the tank? How many gallons of
  43. Calculus--> bobpursley

    How do you get m=0? from taking the second derivative? does c=1? Can you check my work on how I get the derivative of R=M^2(c/2-m/3) NEXT R=1/2(CM^2)-1/3(M^3) NEXT dR/dM=CM-M^2. I checked in the back, and that was the answer for the first part of the
  44. calc

    i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is given by v(t) = 1 -
  45. Math

    How do I show that the sum of 3 consecutive odd integers is a multiple of 3? Can you please help me answer this question? My teacher didn't explain on how to solve it very well.
  46. Calculus review

    let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know
  47. Math

    A manufacturer has determined that the weekly profit from the sale of x items is given by the function below. It is estimated that after t days in an week, x items will have been produced. Find the rate of change of profit with respect to time at the end
  48. Math

    A manufacturer has determined that the weekly profit from the sale of x items is given by the function below. It is estimated that after t days in an week, x items will have been produced. Find the rate of change of profit with respect to time at the end
  49. Calculus

    A manufacturer has determined that the weekly profit from the sale of x items is given by the function below. It is estimated that after t days in an week, x items will have been produced. Find the rate of change of profit with respect to time at the end
  50. algebra

    determine the vertex for the function y=2x^2+5x-3 for y = ax^2 + bx + c, the x value of the vertex is -b/(2a) sub that x into your equation to find the y. Another way is to complete the square. so for yours, x = -5/4 etc. a third way, if you know Calculus,
  51. Math

    I can't figure out this question. I tried asking my classmates and teacher, but no help. Except one girl but I didn't understand. Can you help me? Question; A person who weighs 130 pounds can burn about 300 calories per hour skateboarding. Write a function
  52. increasing and decreasing intervals

    Have to find the intervals on which f(x) = 4 - sqrt(x+2) is increasing. Also the intervals on which the function is decreasing. TIA Find the derivative of f(x). When the derivative is positive, the function increases as x increases. When the derivative is
  53. Calc, Mean Value Theorem

    Consider the function : 3x^3 - 2x^2 - 4x + 1 Find the average slope of this function on the interval. By the Mean Value Theorem, we know there exists a "c" in the open interval (-2,3) such that f'(c) is equal to this mean slope. Find the two values of "c"
  54. calculus

    Let F(x)= the integral from 0 to 2x of tan(t^2) dt. Use your calculator to find F″(1) By applying the fundamental theorem of calculus, I got the derivative of the integral (F'(x)) to be 2tan(2x^2) When I take the derivative to find F''(x) I get 8x
  55. Calculus

    1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^-1 x is 1/(|x|*sqrt(x^2 -1)). 4. Find the derivative
  56. calculus

    Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)
  57. Calculus

    1. Use the Mean Value Theorem to find an x-value where the instantaneous slope=average slope over the given interval: f(x)=(9-x^2)^(1/2) on [-3,2] I have done three chapters of Calculus already and I never have had to check for extraneous roots. So, my
  58. Calculus

    An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 mi/hr. Find the rate at which the angle of elevation is changing when the angle is 30 degrees. I found the answer to be 60 radians/hr by
  59. Calculus

    Find the intervals on which y=1/(x^2+1)^2 is increasing and decreasing. find the first derivative which is -4x/(x^2+1)^3 you should know that if the first derivative is positive, then the function is increasing and if it is negative, the function is
  60. Math

    Hi, I have to do a project on the Shell Method in my Geometry class. I have been trying to find information on that topic, but have no luck... can someone point me to the right direction as of what keyword to search for, or is there any sites or books or
  61. Calculus

    What would an example of a logarithmic function that contains two trig functions within it where you would need to use chain rule and product rule to take derivative look like? How would taking the derivative of the function in its original form look
  62. increasing decreasing and more

    How to analytically find the intervals on which the function y = 2x^4 - 4x^2 + 1 is 1)increasing 2)decreasing 3)concave up 4)concave down Also find any local extreme values and inflection points. Thanks. (1) The function is increasing when the first
  63. calculus

    One litre of water at 0 degrees Celsius will have a different volume at higher temperatures. For a temperature 0 ≤ T ≤ 30 (in Celsius) this volume (in litres) is well approximated by the function V = −aT 3 + bT 2 − cT + 1 using the coefficients a =
  64. Math

    Hi. So we had a long test with this question.. I was wondering how to solve it? Coz our teacher didn't discuss the answers.. and most probably we'll have the same type of question during midterms.. Find the Solution Set 9/|2-5x| - 4/y^2-3y = 5 2/|2-5x| +
  65. Applied Calculus

    Find the first and second derivative of the function: x/(7x+10) Using quotient rule. This is part of my homework in the section named "Higher Order Derivatives". I am confused on getting the second derivative, as I found the first derivative to be
  66. Calculus

    A rectangular piece of tin has an area of 1334 square inches. A square tab of 3 inches is cut from each corner, and the ends and sides are turned up to make an open box. If the volume of the box is 2760 cubic inches, what were the original dimensions of
  67. Calculus - Fundamental thm of Calc

    Use the Fundamental Theorem of Calculus to find the derivative of f(x)=∫[4,x^2]((1/4)t^2−1)^15 dt
  68. Calculus

    Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^-1 (9))'[the derivative of the inverse function
  69. calculus

    Find the derivative of the function. 1. 2x+5/3x-2 2. (1-x)(1+x^2)^-1 Please show work. TYVM. :)
  70. CAL

    The _____________ of a function is a formula for the slope of the tangent line to that function at any point x. When the function is defined as f(x), the derivative will be written as __________or ________. When the function is written in the form of y =,
  71. Math:Calculus

    Use the Fundamental Theorem of Calculus to find the derivative of g(x)=1/(1+t^5)dt in the interval 1 to x.
  72. Further maths

    Under differential calculus using the product rule find the derivative of (2x+3)^3(4x^2-1)^2
  73. CALCULUS HELP

    Find the second derivative for the function 5x^3+60x^2-36x-41 and solve the equation F(X)=0 i got to the second derivative but what do we do next to be able to get one of these answers.. F(x) = 5x3+60x2−36x−41 1. derivative of F(x) with respect to x =
  74. Complex Algaebra, Plz Help!!

    Good evening to all around the world. Need help with this question, however i must show my answers supported by the working out. Please help. This question is difficult, the one who solves it for me is my hero!!!! Q11) Two functions f and g are defined by
  75. Math - derivative of sinusoidal (check)

    a) Find a function y=f(x) that satisfies the differential equation dy/dx = fifth derivative. This is one of the questions in my practice test, I tried the basic equation of the trig function such as f(x)= sin(x) or f(x)=-sin(x) however in the fourth
  76. Calculus

    For f(x)=2(x+5)^3 +7 Find and classify the extreme values, determine where the function is increasing and decreasing, where it is concave up and concave down, and any points of inflection. I understand this is using the first and second derivative tests,
  77. math

    I don't understand this calculus problem at all. can someone show me step by step? Find all values of x for which the function is differentiable
  78. Calculus

    Need an answer to this Calculus Question. I keep getting this type of question wrong. Thanks. Differentiate the Function: y = (3x-1)^2(2-x^4)^2 y =
  79. math

    I have the same project as Jill down there... -What is the definition of a derivative? -What does the derivative of a function tell you (in english) ? Then I need an example of the power rule, quotient rule, and chain rule. -What information does the FIRST
  80. math, calculus 2

    Use part 1 of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du
  81. math

    Use part I of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du
  82. math

    this question concerns the function f(x)=-2x3+3x2+12x+10 (a)find the stationary points of this function using the strategy to apply the first derivative test,classify the left hand stationary point found in part (a) find the y-coordinate of each of the
  83. calculus

    1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4. Find all values of x on the
  84. differentiation

    by determining : lim f(x+h)-f(x) h->0 --------------- h show that if f(x)=2x^2+2 then dy/dx=4x. i figured out that f'(x) is 4x...but i am confused about what to do next...someone help? "i figured out that f'(x) is 4x..." That's the answer! dy/dx is just a
  85. calculus

    Find the derivative of the function. y=cos((1-e^x)/(1+e^x)) Please show all work and explain. I am very confused
  86. Calculus Help

    Use logarithmic differentiation to find the derivative of the function. show steps please! y=(e^-xcos^2(x))/(x^2+x+1)
  87. Calculus Help

    use logarithmic diff. to find the derivative of the function. Show steps please! so I can see how it is done. Thank you so much! y=(e^(-x)cos^(2)(x))/(x^(2)+x+1)
  88. calculus

    please help! having issue with exponent part of problem. I come to 16x^4 but I think it should be 16x^3.i also have complications with finding the domains. find the derivative of the function using the definition of derivative. f(x)=4x^4 f'(x)=? State the
  89. Pre-Calculus/Calculus

    I am too embarassed to ask this Calculus (really pre-calculus) question in tutoring, because I know I should know. Is the inverse of f(x)=3x-1 actually f(x)=1/3x+1? How do I find it? What if it asks the same equation replaced with f to the -1 power (x)? I
  90. Calculus

    Find two numbers such that the sum of the first plus three times the second is 600 and their product is a maximum. x + 3y=600 xy is a max. This is the problem statement. let U be the function equal to xy. U=xy = y(600-3y) Now, maximize U (take derivative,
  91. Calculus

    Use the function f to solve the following: a) Local minima, local maxima, and stationary points if any. Show work. b)Intervals of upward concavity and downward concavity if any. Show work. c) Inflection points if any. Show work. f(x)=2x+1/x-2 Please, don't
  92. math

    Find the equation of the tangent line to the graph of f(x) = 2x − 6/x + 1 at the point at which x = 0. (Let x be the independent variable and y be the dependent variable.) I got this question wrong. I thought the answer would be y=-4x-6 I followed the
  93. Calculus1

    find the derivative using fundamental theorem of calculus integral of sin^3tdt from e^x to 0
  94. Calculus

    What would an example of a logarithmic function that contains a radical within it and a quotient within it where you would need to use chain rule and quotient rule to take derivative look like? How would taking the derivative of the function in its
  95. Calc

    I'm creating a "calculu for dummies" project book. I've already done most of it, I'm just stuck on these ones. Thank you! -What is the definition of a derivative? -What does the derivative of a function tell you (in english) ? Then I need an example of the
  96. Calculus

    Please.... I need your help! I posted this question yesterday and no one has answered it yet. Can anyone help me please? My question was: The Taylor series about x=5 for a certain function f converges to f(x) for all x in the interval of convergence. The
  97. Physics

    A woman driving her car approaches an intersection and begins to accelerate just as the traffic light turns green. Her velocity is the function of time described by the equation: v(t)=2t^2-8t+10 (A) Use calculus to find her instantaneous acceleration at
  98. AVID

    this is about cornell note taking...i'm done taking notes but i'm having trouble with the summary and the question area...i don't know what to ask ....for the question part...so can u help? The question area...put in a question that you think the teacher
  99. Calc Help :(((((

    Find the derivative of the following function showing your work and fully simplifying your answer. Show steps please! Thank you!!!!!! f(x)=(x+3)^3(x-8)^5
  100. Calculus prince@18

    let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know