Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 5, u ‘(1) = -7, v(1) = 7, v ‘(1) = -4. (3v – u) at x = 1

Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = (-3x + 10)5

Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 5, u ‘(1) = -6, v(1) = 6, v ‘(1) = -2. (3v – u) at x = 1

Find dy/dt.y = cos5(πt – 12)

Use implicit differentiation to find dy/dx and d2y/dx2.2y – x + xy = 6

Calculate the derivative of the function. Then find the value of the derivative as specified.θ =0 if r =

Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = tan u, u = -7x + 18

Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = (2x + 10)6

Solve the problem. Round your answer, if appropriate.The radius of a right circular cylinder is increasing at the rate of , while the height is decreasing at the rate of . At what rate is the volume of the cylinder changing when the radius is 9 in. and the height is 20 in.?

Use implicit differentiation to find dy/dx.cos xy + x3 = y3