Given y^4 -x^4=16 find and simplify d2y/dx2 using implicit differentiation. I got the first derivative which was x^3/y^3 and no im am stuck on using implicit differentiation for the second derivative part

101,803 results
1. math

Find dy/dx and d2y/dx2. x = et, y = te−t

2. Calc

If dy/dx = x²y², then d²y/dx² = ?

3. Calculus

let d2y/dx2= 6x. Find a solution to the differential equation that is continuous for negative infinity to positive infinity and whose graph passes through the point (0,1) and has a horizontal tangent there.

4. Calculus 1

If 5x^2+5x+xy=2 and y(2)= -14 find y'(2) by implicit differentiation

5. calculus

Given y^4 -x^4=16 find and simplify d2y/dx2 using implicit differentiation. I got the first derivative which was x^3/y^3 and no im am stuck on using implicit differentiation for the second derivative part

6. math

d2y/dx2+9y=cos2x+sin2x

7. Calculus

Find dy/dx by implicit differentiation: x^2-2xy+y^3 = c Thank you!

8. Calculus-Math

Find d2y/dx2 in terms of x and y. x^2y^2-2x=3

Find d2y/dx2 in terms of x and y. y5 = x6

10. re: Differential Calculus

Write the equation of lines tangent and normal to the following function at (0, π). To find derivative, use implicit differentiation. x^2cos^2y - siny = 0 Note: I forgot the ^2 for cos on the previous question. Sorry.

11. Second Derivatives

If y = 2 f(g(x)), then d2y/dx2 = ? The d2y/dx2 means the second derivative, I believe.

12. Calc

Find dy/dx by implicit differentiation. y^5 + x^2y^3 = 1 + x^4y So, first I find the derivative: 5y^4 + 2x3y^2 = 4x^3(1) Now I find dy/dx: But this is where I don't know what to do? Please Help.

13. calculus

Use implicit differentiation to find the derivative of the family of curves sin(xy)+x5+y5=c. dy/dx=? I got (-5x^4-ycos(xy))/(xcos(xy)+5y^4)). what am I doing wrong? Help please

14. Calc

Use implicit differentiation to find dy/dx. ln xy + 5x = 30

15. calculus

If 4x^(2)+5x+xy=4 and y(4)=-20, find y'(4) by implicit differentiation. I got y'=(-8x-5-y)/(x)

16. Calc

Find y'' by implicit differentiation. 5x2 + y2 = 3 y'' =?

17. calculus

use implicit differentiation to find dy/dx . Then evaluate the derivative function at the designated point. x2y2 − 1= 0;(0.5, 2)

18. Calculus Help

find y'' by implicit differentiation. 2x^3 + 3y^3 = 8

19. calculus

find dy/dx implicit differentiation x^2y+y^2x=0 at x=-2, x=2

20. Calculus Help STEVE

find y'' by implicit differentiation. 2x^3 + 3y^3 = 8 I got the first derivative as you but the problem was asking for second derivative by implicit diff. this is where i got confused. Thank you!!!

Find d^2y/dx^2 by implicit differentiation. x^(1/3) + y^(1/3) = 4 I know that first you must find the 1st derivative & for y prime I got 1/3x^(-2/3) + 1/3y^(-2/3) dy/dx = 0 Then for dy/dx I got dy/dx = [-1/3x^(-2/3)] / [1/3y^(-2/3)] I think that from here

22. Calculus 1 - implicit differentiation

I do not understand implicit differentiation. One of the problems are: find y' by implicit differentiation xy+2x+3x^2=4. I would appreciate any help that can be offered.

23. integral

Find dy/dx and d2y/dx2 if y= definite integral sign where a= 1 and b= 3x 1/(t^2+t+1) dt how do i even start. do i integrate and then plug in a and b? plz help.

24. calculus

Find the derivative of the function 1)f(t)=tan(e^2t)+e^tan2t f'(t)= [im not quite sure with this. im assuming the implicit differentiation] 2) F(t)=e^(8tsin2t) [for this one i got 2e^(8t)(4sin(2t)+cos(2t)) but it is incorrect.

25. Maths

Solve the differential equation: d2y/dx2 - 2 dy/dx + y = 3sinhx The answer should be: y(x) = e^x (Ax+ B) + ( 3^8 )(2[x^2][e^x] - [e^-x] ) Can someone please show me how to work it out?

26. Calculus

Use implicit differentiation to find dy/dx. e^4x = sin(x+2y). This is a practice problem. It says the correct answer is 4e^x/(2sin(x+2y)) but I keep getting 4e^(4x)/(2cos(x+2y)). I thought the derivative of e^(4x) would be 4e^(4x), not 4e^(x). And I use

27. Math2

. The acceleration of a particle moving back and forth on a line is d².s/d.t² .π²cosπ.t m/s² at any time t. If s=0 and v=8m/s when t=0 ,find s when t=1sec.. 2.find the equation for the tangent line to the curve at the point defind by ralue of t.also

28. math

Use implicit differentiation to find dz/dx if 𝑒^z = 𝑥𝑦𝑧

29. Math/Calculus.

Suppose (x^2)*(e^(-2y))= ln(xy) Find dy/dx by implicit differentiation.

30. Math - Calculus Question.

hey can someone explain to me the relationship between the chain rule and implicit differentiation? It would be very much appreicated, thanks The chain rule is utilized whenever you have a function within a function such as cos^2 x or (5x+1)^1/2. Implicit

31. math

Find dy/dx and d2y/dx2. x = e^t, y = te^t

32. maths

x=tcost & y=t+sint then find dx2/d2y

33. Maths

If y=2xsin2x+cos2x, find d²y/dx² if x=2p/3 in exact value

34. calculus

use implicit differentiation to find dy/dx . Then evaluate the derivative function at the designated point. log (xy)= 2; (4, 25)

35. calculus

use implicit differentiation to find dy/dx . Then evaluate the derivative function at the designated point 2xy2 – y = 10; (1, −2)

36. Integral

Find dy/dx and d2y/dx2 if y= definite integral sign where a= 1 and b= 3x 1/(t^2+t+1) dt how do i even start. do i integrate and then plug in a and b? plz help.

37. PLIZ VERY URGENT

Use implicit differentiation to show that a function defined implicitly by sin x + cos y = 2y has a critical point whenever cos x = 0. Then use the first derivative test to classify those critical numbers that lies in the interval (−2, 2) as relative

38. Math

Find the equation for the tangent line to the curve at the point defined by the given value of t.also find d²y/dx² at this point x=SECt, y=TANt,where t=π/4.

39. Calc

Find dy/dx by implicit differentiation and simplify the result 1. x=sec(1/y) 2. 4xy+ln(x^2y)=7 Hello I sort of know how to do these problems but not really. :( Can someone show all the work to solving them it would help me greatly. Thank you a lot.

40. math

Given the curve of C defined by the equation x^2 - 2xy +y^4 =4. 1) Find the derivative dy/dx of the curve C by implicit differentiation at the point P= (1,-1). 2) Find a line through the origin that meets the curve perpendicularly.

41. Calculus

Find dy/dx for implicit differentiation y^2-xy+x^2=7

42. Calculus 1

How do you find dy/dx by implicit differentiation? x^3 + y^5 = 1

43. Math

If 3x^2+3x+xy=4 and y(4)=−14, find y'(4) by implicit differentiation.

44. calculus

find dy/dx by implicit differentiation 5/y+45/x=1

45. Calc

find d^2y/dx^2 of x^2/3 + y^2/3 =1 (implicit differentiation)

46. applied calculus

1. Consider the function y = xx (for x> 0). a) Why does the derivative rule for xn not apply? b) Why does the derivative rule for ax not apply? c) What are the four magic properties of logarithms? d) Take the ln of both sides. Use the properties of

47. cal

Find dy/dx by implicit differentiation given that tan(4x+y)=4x

48. cal

Find dy/dx by implicit differentiation. x^3+8x+x^13y-y^6=4

49. Calculus 1

Find dy/dx by implicit differentiation. X^2 + y^2 = tan(xy)

50. Math - implicit differentiation

Suppose 5x^2+2x+xy=2 and y(2)=−11. Find y′(2) by implicit differentiation.

51. calculus

Alright so implicit differentiation is just not working out for me. Use implicit differentiation to find the slope of the tangent line to the curve at point (4,1). y / (x-2y) = x^3 + 4 Tried quotient rule to get the derivative of the left side, then got

52. Calc 2

Find the second derivative (d2y/dx2) for the curve given by x = 2·cos() and y = sin()

53. carter

suppose f(x) = (4/5)x^2 + cosx for x≥0 and g is the inverse of f. find g'(1.5) to the nearest thousandth. would I just swap x and y and then find the derivative of that equation to find g'(x) and then plug in g'(1.5)? When I swapped x and y I got

54. calculus

carter suppose f(x) = (4/5)x^2 + cosx for x≥0 and g is the inverse of f. find g'(1.5) to the nearest thousandth. would I just swap x and y and then find the derivative of that equation to find g'(x) and then plug in g'(1.5)? When I swapped x and y I got

55. calculus

i need to use implicit differentiation to find the derivative: yx+y = 8 i keep getting y'=-1-y. i already know the derivative of this, by using explicit by simplification: y(x+1)=8 y=(8)/(x+1) y'= -(8)/(x+1)^2 how do i go about doing this the right way?

56. 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

57. Calculus

How do you use imlicit differentiation to differentiate e^(xy)? I have the problem "use implicit differentiation to find dy/dx. e^(xy)+ x^2 - y^2 = 10. I've gotten to the point whereI have d/dx(e^(xy)) + 2x - 2ydy/dx = 0, but I can't go any further because

58. Calc

sinx+x^2y=1 use implicit differentiation to find the second derivative. For the first derivative I got (cos(x)+2xy)/x^2. I have a feeling that is wrong, can someone please help and show steps on how to do this problem. (studying for a midterm).

59. Calc

ex: Find the indicated derivative using implicit differentiation. e^x/y^2= 8 + e^y; dy/dx Please I need help and thank you very much!

60. calculus

Find d2y/dx2 in terms of x and y. y5 = x6

61. Calculus - Derivatives

Use implicit differentiation to find the second derivative y'' of the function given. x^2 + 5y^3 = 8

62. AP Calculus

Use implicit differentiation to find the derivative for: arctan(xy)=1+x

63. Calculus

Use implicit differentiation to find the derivative of y with reapect to x x^2y-y^2+ln(xy)=1

64. Calculus

Use implicit differentiation to find the second derivative: 2xy^2=4 (nothing is in parenthesis)

65. math

If cos(3 x)6Ó14 x e^2 y=0, find [ dy/dx] using implicit differentiation. In this problem, you should differentiate both sides of this equation with respect to x. First, using implicit differentiation, differentiate the left side of the equation with

66. Calculus 1 - implicit differentiation

I do not understand implicit differentiation. One of the problems are: find y' by implicit differentiation xy+2x+3x^2=4. I would appreciate any help that can be offered.

67. Maths

If y is a function of x and z = e^z, show that: x (dy/dx) = (dy/dz) and (x^2) (d2y/dx2) = (d2y/dz2) - (dy/dz) I managed to work out the first part. But I don't know how to prove the second part. Can someone please show me how? Thanks!

68. Math

Let y=e^(cos^-1x) for modx

69. Differential Calculus

Write the equation of lines tangent and normal to the following function at (0, π). To find derivative, use implicit differentiation. x^2cos^y - siny = 0

70. maths

d2y/dx2+9y=cos2x+sin2x

71. Calculus

Evaluate the derivatives by implicit differentiation. Assume all letters represent constants, except for the independent and dependent variables occurring in the derivative. 𝑃𝑉^𝑐=𝑛𝑅𝑇 Find dP/dV

72. Brief Calc

e^x y =3 find dy/dx using implicit differentiation the answer is -y Compare your answer with the result obtained by first solving for y as a function of x and then taking the derivative. y=? dy/dx=? help me out with these last two please I don't know what

73. Math

Find the equation for the tangent line to the curve at the point defined by the given value of t.also find d²y/dx² at this point x=SECt, y=TANt,where t=π/4.

74. Calculus

Use logarithmic differentiation to find the derivative of f(x) = x^x+2 and simplify. Please show steps. Thanks.

75. Calculus

Evaluate the derivatives by implicit differentiation. Assume all letters represent constants, except for the independent and dependent variables occurring in the derivative. 𝑃𝑉^𝑐=𝑛𝑅𝑇

76. Applied calculas

3. a) Write out the limit definition for the derivative of y = xx. Attempt to solve it. b) Write out the limit definition for the derivative of the inverse trig function from question 2. Attempt to solve it. c) Discuss the value of implicit

77. applied calculus

3. a) Write out the limit definition for the derivative of y = xx. Attempt to solve it. b) Write out the limit definition for the derivative of the inverse trig function from question 2. Attempt to solve it. c) Discuss the value of implicit

78. 12th AP Calculus

use implicit differentiation to find dy/dx and then d^2y/dx^2 x^2/3 + y^2/3 = 1

79. Calculus

Find dy/dx by implicit differentiation for the following 2x^2y+3y=-1

if 2x^2+2x+ xy =2 and y(2)=-5 find y'(2) by implicit differentiation

81. Math help

If 2 x^2+ 3 x + xy = 5 and y( 5 ) = -12, find y'( 5 ) by implicit differentiation.

83. Calc

if 2x^2+2x+ x = 2y and y(2)=-5 find y'(2) by implicit differentiation

84. Differential calculus with analytic geometry

use implicit differentiation to find dy/dx. xy^2+4y^3=x-2y

85. calculus

use implicit differentiation to find y=(x+8)^(3x)

86. Calculus

If 3 x2+ 5 x + xy = 3 and y( 3 ) = −13, find y′( 3 ) by implicit differentiation.

87. Cal

How do you find the implicit differentiation of 2/x + 2/y = 5?

88. Calculus

Find the implicit differentiation for each. 1) x^2 = (x-y) / (x+y) 2) (x+y)^3 + (x-y)^3 = x^4 + y^4

find y' and y” by implicit differentiation. 2x^3 + 3y^3 = 8

90. college Math

(x-y)/(4x+3y)=6x find dy/dx by implicit differentiation.

91. Applied calculas

1. Consider the function y = xx (for x > 0). a) Why does the derivative rule for xn not apply? b) Why does the derivative rule for ax not apply? c) What are the four magic properties of logarithms? d) Take the ln of both sides. Use the properties of

92. calc

Is there an easy explanation of implicit differentiation? Where do I start to solve y" given 1) x+xy=y=2 2) x^3-3xy+y^3 Please help!! http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/implicitdiffdirectory/ImplicitDiff.html Take the first one (read the

93. Math

Find dy/dx by implicit differentiation. cot(y) = 4x − 6y

94. Calculus

Find dy/dx by implicit differentiation for x^2 - 2xy + y^3 = C

95. math

find implicit differentiation (1-2xy^3)^5=x+4y

96. Calculus

I am lost. Find dy/dx by implicit differentiation. 1) 5y-2x^2=x-3

97. Calculus

use implicit differentiation to find dy/dx if x^3+y^3=6xy

98. calculus

use implicit differentiation to find dy/dx if 5xy+x^2y=10

99. Calculus

Use the process of implicit differentiation to find dy/dx given that x^3e^y-ye^x=0

100. Calculus

cot(y) = x − 4y Find using implicit differentiation