Differentiate the function . ​

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? ​

Use the alternative form of the derivative to find the derivative of the function at . ​

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

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

An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider θ and x as shown in the following figure. Write θ as a function of x. ​ ​

Identify the graph which has the following characteristics. , ​ Graph 1 ​ ​ Graph 2 ​ ​ Graph 3 ​ Graph 4 ​ ​

Use logarithmic differentiation to find the derivative of . ​

Find the derivative of the function. ​ ​

Find  if . ​