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

Differential Calculus

Course: Differential Calculus > Unit 2

Lesson 10: Product rule
Math
Differential Calculus
Derivatives: definition and basic rules
Product rule
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

Product rule with tables

Google Classroom
You might need: Calculator

Problem

The following table lists the values of functions f and h, and of their derivatives, f, prime and h, prime, for x, equals, 3.
xf, left parenthesis, x, right parenthesish, left parenthesis, x, right parenthesisf, prime, left parenthesis, x, right parenthesish, prime, left parenthesis, x, right parenthesis
36064
Evaluate start fraction, d, divided by, d, x, end fraction, open bracket, f, left parenthesis, x, right parenthesis, dot, h, left parenthesis, x, right parenthesis, close bracket at x, equals, 3.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
Stuck?
Stuck?