Derivative of cosh(9x)
Answer
9*sinh(9*x)
Derivative of cosh(9x)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: inh()
The derivative of cosh(9*x) is 9*sinh(9*x).
Instant step-by-step solution for cosh(9x)
Share this result
Derivative of cosh(9x) = 9*sinh(9*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-cosh9x
How to find the derivative of cosh(9x)
To find the derivative of cosh(9x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of e^x
Solve d/dx e^x
Derivative of ln(2x)
Solve d/dx ln(2x)
Derivative of ln(x)
Solve d/dx ln(x)
Derivative of -x
Solve d/dx -x
Derivative of x^(1/2)
Solve d/dx x^(1/2)
Derivative of sqrt(x)
Solve d/dx sqrt(x)
Derivative of x^3
Solve d/dx x^3
Derivative of x*e^x
Solve d/dx x*e^x
Derivative of x*ln(x)
Solve d/dx x*ln(x)
Frequently Asked Questions
What is the derivative of cosh(9x)?▼
The derivative of cosh(9x) is 9*sinh(9*x).
How do you find the derivative of cosh(9x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 9*sinh(9*x).
Why is the derivative of cosh(9x) equal to 9*sinh(9*x)?▼
Because differentiation measures how a function changes — applying the rules to cosh(9x) yields 9*sinh(9*x). See the full step-by-step breakdown above.