close search
Hit Return to see all results

Let h(x)=f(g(x)). If f(3)=−2, f′(3)=4, g(−5)=3, and g′(−5)=−6, find h′(−5).Do not include "h′(−5)=" in your answer.


Let h(x)=f(g(x)). If f(3)=−2, f′(3)=4, g(−5)=3, and g′(−5)=−6, find h′(−5).

Do not include "h′(−5)=" in your answer.

Step 1

By, chain rule of differentiation of composite function ,we have

If h(x)=f(g(x)), then h'(x)=f'(g(x))g'(x)



Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in



Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add

Q: The rectangular coordinates of a point are given. Find the polar coordinates (r,0) of this point wit...

A: The given rectangular coordinates of a point is,


Q: Is y=ex +8x+5 a solution to the initial value problem shown below? y′−y=−8x+3 y(0)=6 Select the ...

A: The given differential equation is y’-y=-8x+3.The solution of the deferential equation is given as, ...


Q: Find the point P on the line y = 5x that is closest to the point (52,0).  What is the least distance...

A: Given:The equation of the line is y = 5x.(52,0) is the closest point to the point P which line on th...


Q: How can I get the result? Which is the result?

A: The function is given by,


Q: During the first four months of employment, the monthly sales S (in thousands of dollars) for a new ...

A: Part (a)S= S(x)= 9 / x + 10 + x / 4, x ≥ 4The given function is defined only for x ≥ 4. We don't hav...


Q: Evaluate the integral in cylindrical coordinates. Please see attached image.

A: To calculate the value of the integral in cylindrical coordinates which is shown below,


Q: Consider an object moving along a line given the velocity v. Assume t is time measured in seconds an...

A: To find the direction we have to graph the function v(t)=2t^2-16t+24;[0,7]And then we check the inte...


Q: Find d^2y/dx^2 as a function of t, for the given  parameteric equations written below show all work ...

A: From the parametric equation, the derivative dy/dx can be calculated as follows.


Q: Help w/ #6

A: The curve is given by ti+t2j+t3k.The formula to calculate the curvature of the curve is given by,

Sorry about that. What wasn’t helpful?