For the function y = f(a) in the figure below, sketch the graph of its derivative function, y = f'(z), on the axes immediately below. Assume the scale of the grid for the graph of f is 1 on both the z and y axes, and assume the horizontal scale of the grid for the graph of f' is identical to that for f.

Q: Calculate the derivative of y = cos(x 3).

A: Given y=cos(x3) we need to find the derivative of y.

Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

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Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: Find the derivative of f(x) = 1 at x = 3

A: The given function is: fx=1x Using the formula of derivative i.e., ddxxn=nxn-1

Q: Find the derivatives of the functions in Exercise

A: Given: r=21θ+θ We know that ddxxn=nxn-1                                                        ..1

Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: Find the first, second and third derivatives of f(x) = 1/x. From this, deduce a pattern and use this…

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Q: Calculate the derivatives of: a. y=bx² b. The above at f(4) C. Y=-2x²

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Q: Calculate the derivative of the following function. y=f(g (5x*)), where f and g are differentiable…

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Q: Compute the derivative using derivative rules.

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