Power rule

Key notes :

Power Rule Overview

  • Definition: The Power Rule is a basic rule of differentiation in calculus that helps find the derivative of a function in the form of f(x)=xn where n is any real number.

Formula

Key Points

  1. Basic Concept:
    • The Power Rule states that to differentiate a power of x, multiply the power by the coefficient (which is 1 if none is given) and then reduce the power by 1.
  2. Example:

Learn with an example

Simplify. Express your answer using a single exponent.

(u8)4 = ______

The expression u8 is raised to the power of 4. Multiply the exponents.(u8)4=u(8 . 4) Simplify (u8)4, remembering to multiply the exponents

=u32 Multiply

Simplify. Express your answer using a single exponent.

(m7)2 = __________

The expression m7 is raised to the power of 4. Multiply the exponents.

(m7)2=m(7 . 2) Simplify (m7)2, remembering to multiply the exponents

=m14 Multiply

Simplify. Express your answer using a single exponent.

(r8)5=__________

The expression r8 is raised to the power of 5. Multiply the exponents.

(r8)5=r(8.5) Simplify (r8)5, remembering to multiply the exponents

=r40 Multiply

let’s practice!