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Find an equation of the tangent line to the graph of the function given below at the given point.  , (The coefficients below are given to two decimal places.) ​

The volume of a cube with sides of length s is given by . Find the rate of change of volume with respect to s when centimeters. ​

Find by implicit differentiation given that . ​

Find  by implicit differentiation given that . Use the original equation to simplify your answer. ​

A point is moving along the graph of the function  such that  centimeters per second. Findwhen . ​

Find the slope of the graph of the function at the given value. ​ when ​

Evaluate the derivative of the function at the point . ​

Find the second derivative of the function . ​

Find  at the point for the equation. ​

A ladder 20 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 4 feet per second. Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 19 feet from the wall. Round your answer to three decimal places. ​ ​