Derivative of cos(11*x)

Answer

−11⋅sin(11⋅x)-11 \cdot \mathrm{sin}\left(11 \cdot x\right)
-11*sin(11*x)

Derivative of cos(11*x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in cos⁡(11⋅x)\cos(11 \cdot x): use the chain rule ddxf(g(x))\frac{d}{dx} f(g(x)) = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
  2. Differentiate the outer function, then multiply by the inner derivative.
  3. Final answer: -11⋅s11 \cdot sin(11⋅x11 \cdot x)

The derivative of cos(11*x) is -11*sin(11*x).

Instant step-by-step solution for cos(11*x)

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Derivative of cos(11*x) = -11*sin(11*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-cos11x

How to find the derivative of cos(11*x)

To find the derivative of cos(11*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 cos(11*x)?▼
The derivative of cos(11*x) is -11*sin(11*x).
How do you find the derivative of cos(11*x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -11*sin(11*x).
Why is the derivative of cos(11*x) equal to -11*sin(11*x)?▼
Because differentiation measures how a function changes — applying the rules to cos(11*x) yields -11*sin(11*x). See the full step-by-step breakdown above.