Chapter 05 · Derivatives
05.03
Derivatives of Power Functions
The power rule and the constant multiple, sum and difference rules: the shortcuts that replace the limit definition for polynomials, roots and powers.
About 40 minutes
You'll learn to
- →Prove the power rule for positive integer exponents
- →Use the constant multiple, sum and difference rules
- →Apply the power rule for any real exponent, rewriting roots and fractions as powers
- →Simplify products and quotients before differentiating