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Derivatives
Page 5
Questions (1,913)
Given that f(x)=2x+cos(x) is one-to-one, use the formula
(f^−1)′(x)=1 / f′(f^−1(x)) to find (f^−1)′(1).
5 answers
asked by
quarantine
3,596 views
What is the derivative of e^cx ?
5 answers
asked by
Mary
2,461 views
1. A particle moves along the x-axis, it's position at timer given by x(t)=t/(1+t^2), t greater than or equal to 0,where t is
5 answers
asked by
Anonymous
2,632 views
find tangent line equation to the curve at the given point:
y= 7e^x cos(x) P=(0,7)
4 answers
asked by
Mare
3,222 views
Find d^5/dx^5 g(x) for g(x)=sinx+5x^4
A. cos x B. sin x + 120 C. -cos x +20x^3 D. -cos x + 120 x E. sin x
4 answers
asked by
Stephanie
1,501 views
Find an equation of the tangent line to the curve at the given point.
y = 4e^xcos(x), (0, 4)
4 answers
asked by
Kori
1,533 views
Find the tangent line approximation for sqrt(3+x) near x=0.
4 answers
asked by
Mike
1,255 views
what is the 2nd derivative of:
1-xy = x-y i get (-y-1)/(x-1) for the first the second i know is (-y-1)/(x-1)^2 but i keep getting
4 answers
asked by
eric
811 views
Let f be the function defined by f(x)=x^3 + x. If g(x)= the inverse of f(x), and g(2)=1, what is the value of g'(2)?
4 answers
asked by
Rachel
2,423 views
Find dy/dx if x^2+y^2=2xy
A. x/(x-y) B. (y+x)/(y-x) C. 1 D. -x/y E. None of these
4 answers
asked by
Anon
1,134 views
find the equation of the line tangent to the graph y=3e^x at x=1
4 answers
asked by
Anonymous
1,881 views
A jogger runs around a circular track of radius 65 ft. Let (x,y) be her coordinates, where the origin is the center of the
4 answers
asked by
Anonymous
7,950 views
The graph of ƒ(x) has an inflection point at x = c so ƒ′(x) has a maximum or minimum value at x = c.
4 answers
asked by
Panashe Kadzima
1,173 views
If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases
4 answers
asked by
nate
7,512 views
The velocity of a subatomic particle moving through space can be modeled by
v(t)=0.1t^2 −2t +0.2 for t≥0 where t is time in
4 answers
asked by
Jonathan
545 views
Find the derivative of x^2f(x)
A. x[xf'(x)+2f(x)] B. 2xf'(x) C. x[xf'(x) +2f'(x)] D. x^2f'(x) E. None of these
4 answers
asked by
Anonymous
2,165 views
Find an equation of the tangent line to the curve at (8,0). y=ln(x^2 -8x +1)
4 answers
asked by
Alexa
1,456 views
A spherical balloon is inflated at a rate of 10 cubic feet per minute. How fast is the radius of the balloon changing at the
4 answers
asked by
Branden
6,791 views
For the function f(x) = 1/x^2 find an expression for the slope of a tangent at the point where a = 1 using . Simplify the
5 answers
asked by
Vanessa
1,316 views
find the derivative of d^2x/dt^2
if x^3=at^2 thanks
4 answers
asked by
philip
1,001 views
Find the function with derivative f′(x)=e3x that passes through the point P=(0,4/3).
what is f(x)=? i keep getting this one
4 answers
asked by
bryant
1,953 views
The Question: A particle moves along the X-axis so that at time t > or equal to 0 its position is given by x(t) = cos(√t).
6 answers
asked by
Stephen
4,468 views
If
f(x) = 5ex cos x, find f '(x) and f ''(x).
4 answers
asked by
jam
3,315 views
When a reservoir is created by a dam,50 fish are introduced into the reservoir ,which has an estimated carrying capacity of 8000
6 answers
asked by
Dash
2,088 views
The power P (in W) generated by a particular windmill is given by P = .015 V^3 where V is the velocity of the wind (in mph).
4 answers
asked by
Anonymous
3,754 views
Find the slope of the tangent line to the curve of intersection of the
surface 36𝑥² − 9𝑦² + 4𝑧² + 36 = 0 with the
4 answers
asked by
Kristian Lou
787 views
A) The point p(3,1) lies on the curve y= square root x-2. If Q is the point (x, square root x-2) use your calculator to find the
4 answers
asked by
Alyssa
2,376 views
A particle moves along a line so that at any time t its position is given by x(t)=2(pi)t+cos(2(pi)t). Determine the particle's
4 answers
asked by
MEG
5,041 views
For the function f(x)=x^3+2x-1, find (f^-1)'(2) (or: find the derivative of the inverse of f(x) at x = 2).
4 answers
asked by
anon
377 views
Suppose f '' is continuous on (−∞, ∞).
(a) If f '(1) = 0 and f ''(1) = −1, what can you say about f ? 1)At x = 1, f has a
3 answers
asked by
Parker
2,882 views
Here is a graph of the derivative y’ of a continuous, differentiable function. For approximately what values of x between -5
4 answers
asked by
Sarah
1,561 views
Suppose that f(2)=3 and f′(2)=5. Let g(x)=x^3f(x). Evaluate g′(2). Your final answer should be a single number.
4 answers
asked by
Allison
1,864 views
Find the slope of the curve at the indicated point.
f(x)= abs(x) at a. x=2 b. x=-3 f(x)= abs(x-2) at a. x-1
4 answers
asked by
Jessica
1,083 views
how do I find the derivative of f(x)= 4/ square root of x ? using the limit process?
4 answers
asked by
Terry
2,372 views
What is the derivative of the fifth root of x^3?
5 answers
asked by
david
1,736 views
Find the value of (f o g)' at x = 4 when f(u)= cos(piu/24) and u=g(x)=6sqrt(x)
4 answers
asked by
Cameron
1,034 views
An investment of 25,000 earns interest at an annual rate of 8.4% compounded continuosly
a. find the instantaneous rate of change
4 answers
asked by
John
5,094 views
Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is
g′(x)=(x^2–16)/(x−2),
6 answers
asked by
Gary
7,717 views
Find the instantaneous rate of change of r with respect to theta for r = (theta/2)- (1/theta).
4 answers
asked by
Emma
1,150 views
Derivatives are usually not taught in 5th grade. That is what your question is about: Rates of change.
Complete the following
4 answers
asked by
drwls
3,502 views
Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate
4 answers
asked by
Lily
2,145 views
Find the equation of the tangent line to the graph of
f(x) = (4x − 8)/(x + 1) at x = 0. (Use y for your dependent variable.)
4 answers
asked by
Michael
661 views
I am re-posting this question because i wrote the incorrect function last time.
An oil tank is being drained for cleaning. After
4 answers
asked by
Sarah
4,388 views
Suppose f'(x) = xe^-x^2.
a) On what interval is f increasing? On what interval is f decreasing? b) Does f have a maximum value?
4 answers
asked by
Travis
3,563 views
Find the slope of the tangent line to the curve
2sin(x) + 6cos(y) - 6sin(x)cos(y) + x = 3pi at the point (3pi, 7pi/2) Thank you
4 answers
asked by
Jake UCD 11/5/11
2,658 views
if F(x)=f(xf(xf(x))), where f(1)=2, f(2)=3, f'(1)=4, f'(2)=5, and f'(3)=6, find F'(1).
5 answers
asked by
vicki
3,210 views
Listed below are four types of functions. Which does not possess a derivative of the same type?
a) exponential function b)
4 answers
asked by
Anonymous
999 views
if f(x)= x+(1/x), find f'(x) using the limit definition of derivative.
Please show steps!!! Thank you!!!
4 answers
asked by
Tenshi
1,881 views
Solve:
The posistion of a particle moving along a coordinate line is s=sqrt(5+4t), with s in meters and t in seconds. Find the
4 answers
asked by
Isha
3,357 views
I am confused how to derivative this...
2y=x^2+siny
4 answers
asked by
sissy
990 views
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Parent Categories (24)
Algebra
Calculus
Calculus / Functions
Calculus or Mathematical Concepts
Calculus Sub-sub-category: Derivatives
Differentiable functions
Differential Calculus
Differentiation
Exponential Functions
Finance
Finance and Investments
Functions
Identification of Compound A
Investing
Investment
Investments
Limits
Limits and Continuity
Mathematics
Mathematics (or Calculus)
Spelling Words
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Vocabulary
Vocabulary/Word Choice