Derivative of cos(x^8)
Answer
-8*sin(x^8)*x^7
Derivative of cos(x^8)
- 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: -in()*
The derivative of cos(x^8) is -8*sin(x^8)*x^7.
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Derivative of cos(x^8) = -8*sin(x^8)*x^7 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-cosx-minus-to-minus-the-minus-8
How to find the derivative of cos(x^8)
To find the derivative of cos(x^8), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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Frequently Asked Questions
What is the derivative of cos(x^8)?▼
The derivative of cos(x^8) is -8*sin(x^8)*x^7.
How do you find the derivative of cos(x^8)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -8*sin(x^8)*x^7.
Why is the derivative of cos(x^8) equal to -8*sin(x^8)*x^7?▼
Because differentiation measures how a function changes — applying the rules to cos(x^8) yields -8*sin(x^8)*x^7. See the full step-by-step breakdown above.