Find the slope of the curve at the given point P and an equation of the tangent line at P.y = x3 – 5x, P(1, -4)

Solve the problem.Find the points where the graph of the function have horizontal tangent lines.f(x) = x3 – 15x

Use implicit differentiation to find dy/dx.cos xy + x7 = y7

Which information-processing task does not occur automatically?

Use implicit differentiation to find dy/dx.cos xy + x7 = y7

Use the graph to find a δ > 0 such that for all x, 0

Audience used to be understood as a collection of people in which everybody exhibited the same needs for information and entertainment. That means audience used to be viewed as ______.

We are constantly engaged in the following series of information-processing tasks ______.

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 16 in. and the height is 12 in.?

Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = cos4 x