Use normal rules of differentiation to find the derrivative of the function

Find the rate of change of from

A regular tetrahedron is growing in size. What is the ratio of the rate of change of the volume of the tetrahedron to the rate of change of its surface area when its sides have length ?

A spherical balloon is being filled with air. What is ratio of the rate of growth of the volume of the sphere to the rate of growth of the surface area when the radius is 1.32?

A cube is growing in size. What is the ratio of the rate of growth of the cube's volume to the rate of growth of the area of a single face when its sides have length 93?

A spherical balloon is being filled with air. What is ratio of the rate of growth of the volume of the sphere to the rate of growth of the circumference when the radius is 170?

The sides of an expanding rectangle can be expressed with the functions, . What is the rate of growth of the rectangle's area?

A regular tetrahedron is growing in size. What is the ratio of the rate of change of the volume of the tetrahedron to the rate of change of its surface area when its sides have length ?

A cube is growing in size. What is the length of the sides of the cube at the time that the rate of growth of the cube's volume is equal to 112 times the rate of growth of its surface area?

Find the rate of change of a function from to .