Chapter 5.1
Power rule
What You'll Learn
Apply the power rule to differentiate polynomial functions with any real exponent
Differentiate functions with positive, negative, and fractional exponents
Convert radical and rational functions into power function form before differentiating
Use the constant multiple rule when differentiating functions with coefficients
Apply sum and difference rules to find derivatives of polynomial expressions term by term
What You'll Practice
1
Differentiating power functions with integer exponents
2
Finding derivatives of functions with negative and fractional exponents
3
Converting radicals and rational expressions to power form before applying the power rule
4
Differentiating long polynomial expressions with multiple terms
Why This Matters
Mastering the power rule is essential for all future calculus work. It's the most efficient differentiation tool you'll use daily in calculus, physics, and engineering. This rule transforms what would be tedious limit calculations into simple algebraic steps, making advanced problem-solving accessible.
This Unit Includes
12 Video lessons
Practice exercises
Skills
Power Rule
Derivatives
Polynomials
Exponents
Rational Functions
Radical Functions
Constant Multiple Rule
IL Curriculum Aligned
