4 Suppose that f is a differentiable function on o co such

dw dt For the given functions a express as a function of t both by using the Chain Rule and by expressing w in terms of t and differentiating directly with respect to t Then b evaluate w 6ye Inz x In 1 y tant z 1 1 dw at the given value of t dt by dw dt

40Write a 40 Write your answer as a fraction or a whole or

y sin In 5x 2x Different

Compute the following derivative using the method of your choice d cos x4 sin x dx d cos x4 sin x

Find the derivative of the function g x

ind the derivative of the function x g x 5x 3x

Find the following integral Note that you can check your answer by differentiatio S 6e4 y Vy dy

et dy dz 5x y e C

Find the derivative of the function f x below f x ln 15 e 9 f x

A fireworks mortar is launched straight upward from a pool deck platform 10 m off the ground at an initial velocity of 62 m sec The height of the mortar can be modeled by h t 4 9t 2 62t 10 where h t is the height in meters and t is the time in seconds after launch What is the maximum height Round to the nearest meter do not include units in your answer