Learn how to use the chain rule in calculus

The video tutorial explains how to handle negative exponents by using reciprocals, and demonstrates function manipulation with exponents. It covers the chain rule for derivatives, showing how to evaluate derivatives by identifying inside and outside functions. The tutorial concludes with a practical example of derivative evaluation using the chain rule.

What is the result of raising a fraction m/n to the power of negative one?

• n^m

• m^n

• n/m

• m/n

In the context of inside and outside functions, what is h(t) in this example?

• t - 3

• t^2

• 2t

• 1

What is the derivative of h(t) = t^2?

• 1

• t

• t^3

• 2t

What is the corrected derivative of g(t) in this example?

• t - 3

• t^2

• -2

• 1

What is the final form of the derivative f'(t) in this example?

• -2/(t - 3)^3

• 2/(t - 3)^2

• -2t^3

• 2t^2