If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 2

Lesson 7: Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule
Math
AP®︎/College Calculus AB
Differentiation: definition and basic derivative rules
Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

Differentiate integer powers (mixed positive and negative)

Google Classroom
You might need: Calculator

Problem

What is the value of start fraction, d, divided by, d, x, end fraction, left parenthesis, start fraction, 9, divided by, x, cubed, end fraction, plus, start fraction, 1, divided by, x, end fraction, right parenthesis at x, equals, minus, 3?
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
Stuck?
Stuck?