Find the second derivative of the function. ​ ​

The length of a rectangle is and its height is , where t is time in seconds and the dimensions are in inches. Find the rate of change of area, A, with respect to time. ​

Differentiate the function . ​

A projectile is shot upwards from the surface of the earth with an initial velocity of 122 meters per second. The position function is . ​ What is its velocity after 3 seconds? ​

A spherical balloon is inflated with gas at the rate of 500  cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is 40  centimeters? ​

Find an equation to the tangent line for the graph of f at the given point. ​ , ​

Find the slope of the tangent line  at the given point . Round your answer to two decimal places. ​

Find the derivative of the following function using the limiting process. ​

Suppose the position function for a free-falling object on a certain planet is given by . A silver coin is dropped from the top of a building that is 1,366 feet tall. Find the time required for the coin to reach ground level. Round your answer to the three decimal places. ​

Find an equation of the tangent line to the graph of  at the point . ​