Calculus Math

What is the derivative of 3x?

1 Answer
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What is the derivative of 3x?

0

The derivative of 3x is 3.

Explanation:

  • The power rule of differentiation states that the derivative of xn is nxn-1.
  • The constant multiple rule states that the derivative of cf(x) is c*f'(x), where c is a constant.

Therefore, the derivative of 3x (which is 3x1) can be found as follows:

  1. Apply the constant multiple rule: d/dx (3x) = 3 * d/dx (x)
  2. Apply the power rule: 3 * d/dx (x1) = 3 * (1 * x1-1)
  3. Simplify: 3 * (1 * x0) = 3 * 1 = 3

Here is an example of the power rule: Khan Academy - Power Rule ()

Wrote answer · 3/13/2025
Karma · 40

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