The derivative and the power rule

The limit definition, then the power rule for polynomials and roots.

Standards:AP Calc AB · Unit 2

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

Find the derivative of f(x) = 5x⁴ − 3x² + 7 using the power rule.

Question 2 of 3

Find the derivative of f(x) = 7x⁴ − 3x² + 5 using the power rule.

Question 3 of 3

Find the derivative of f(x) = 2x⁶ + 4x³ − 9x using the power rule.

How this fits in

The derivative and the power rule is one skill in the Intro to Calculus unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

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