Derivative of cosh(6x)

Answer

6⋅sinh(6⋅x)6 \cdot \mathrm{sinh}\left(6 \cdot x\right)
6*sinh(6*x)

Derivative of cosh(6x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in cosh⁡(6⋅x)\cosh(6 \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: 6⋅s6 \cdot sinh(6⋅x6 \cdot x)

The derivative of cosh(6*x) is 6*sinh(6*x).

Instant step-by-step solution for cosh(6x)

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Derivative of cosh(6x) = 6*sinh(6*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-cosh6x

How to find the derivative of cosh(6x)

To find the derivative of cosh(6x), 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 cosh(6x)?▼
The derivative of cosh(6x) is 6*sinh(6*x).
How do you find the derivative of cosh(6x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 6*sinh(6*x).
Why is the derivative of cosh(6x) equal to 6*sinh(6*x)?▼
Because differentiation measures how a function changes — applying the rules to cosh(6x) yields 6*sinh(6*x). See the full step-by-step breakdown above.