Differentiate both sides of the equation.

The derivative of with respect to is .

Differentiate.

By the Sum Rule, the derivative of with respect to is .

Differentiate using the Power Rule which states that is where .

Evaluate .

Since is constant with respect to , the derivative of with respect to is .

Differentiate using the Power Rule which states that is where .

Multiply by .

Reform the equation by setting the left side equal to the right side.

Replace with .

Find ds/dt s=t^2-t