Khan Academy Static

Radical_functions_differentiation_intro_

Learn how the power rule can be used to differentiate some basic radical functions.

Rational_functions_differentiation_intro_

Learn how the power rule can be used to differentiate some basic rational functions.

Basic_differentiation_rules

If you ever tried to find derivatives using their formal definition, you probably know how tedious that may be. Fortunately, we have ways for finding derivatives much quicker, using differentiation rules! Make your first steps in this fascinating world by working with the more basic rules. For example, the derivative of [f(x)+g(x)] is f'(x)+g'(x), and the derivative of k⋅f(x) is k⋅f'(x).

e_and_ln_x_derivatives

The derivative of eˣ is eˣ. That's pretty amazing. The derivative of ln(x) is 1/x, which is just as surprising.

Review_Basic_differentiation

Review your understanding of basic differentiation rules and your knowledge of the derivatives of common functions with some challenge problems.

Power_rule

The power rule says that the derivative of xⁿ is n⋅xⁿ⁻¹. It allows us to quickly find the derivative of any polynomial, and it doesn't even stop there! Make introduction with this simple but powerful rule.

Sine_cosine_derivatives

The derivative of sin(x) is cos(x) and the derivative of cos(x) is -sin(x). How convenient! Practice differentiating functions that include sine and cosine.

Polynomial_functions_differentiation

Put the power rule to use by differentiating various polynomials.