Find y”.y = 6 sin(4x + 10)

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 7 in. and the height is 5 in.?

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) = 3, u ‘(1) = -5, v(1) = 6, v ‘(1) = -4. (3v – u) at x = 1

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 18 in. and the height is 9 in.?

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

Find the derivative.r = 10 – θ5 cos θ

Intussusception occurs when the bowel prolapses into  bowel, and is propelled ____________.    

Find y”.y = 6 sin(2x + 8)

Calculate the derivative of the function. Then find the value of the derivative as specified.θ =1 if r =

Use implicit differentiation to find dy/dx and d2y/dx2.2y – x + xy = 5