Derivative of 13*sin(x)

Answer

13⋅cos(x)13 \cdot \mathrm{cos}\left(x\right)
13*cos(x)

Derivative of 13*sin(x)

Rule Used
Constant Multiple Rule
Steps
  1. 13⋅s13 \cdot sin(x) is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
  2. Final answer: 13⋅c13 \cdot cos(x)

The derivative of 13*sin(x) is 13*cos(x).

Instant step-by-step solution for 13*sin(x)

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Derivative of 13*sin(x) = 13*cos(x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-13sinx

How to find the derivative of 13*sin(x)

To find the derivative of 13*sin(x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.

Frequently Asked Questions

What is the derivative of 13*sin(x)?▼
The derivative of 13*sin(x) is 13*cos(x).
How do you find the derivative of 13*sin(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 13*cos(x).
Why is the derivative of 13*sin(x) equal to 13*cos(x)?▼
Because differentiation measures how a function changes — applying the rules to 13*sin(x) yields 13*cos(x). See the full step-by-step breakdown above.