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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

Find dy.y = x

Find an equation for the tangent to the curve at the given point.f(x) = 6 – x + 7, (36, 7)

Find the linearization L(x) of f(x) at x = a.f(x) = , a = 0

Solve the problem.Find the points where the graph of the function have horizontal tangents.f(x) = x3 – 21x