Determine the rate of change of the angle opposite the base of a right triangle -whose length is increasing at a rate of 1 inch per minute, and whose height is a constant 2 inches - when the area of the triangle is 2 square inches.

Find the intervals on which is increasing.

Use implicit differentiation to calculate the equation of the line tangent to the equation at the point (2,1).

If p(t) gives the position of an asteroid as a function of time, find the function which models the velocity of the asteroid as a function of time.

A body's position "s" is given by the equation:

,

a) Find the body's speed at the endpoints of the given interval

b) Find the body's acceleration at the endpoints of the given interval

Given that , compute the derivative of the following function

Given that , find the derivative of the function

A right triangle has sides of lenght and which are both increasing in length over time such that:

a) Find the rate at which the angle opposite is changing with respect to time.

Determine the rate of change of the angle opposite the base of a right triangle -whose length is increasing at a rate of 1 inch per minute, and whose height is a constant 2 inches - when the area of the triangle is 2 square inches.

Find the derivative of the following function at the point .