Derivative of cos(x^3)
Answer
-3*sin(x^3)*x^2
Derivative of cos(x^3)
- 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^3) is -3*sin(x^3)*x^2.
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Derivative of cos(x^3) = -3*sin(x^3)*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-cosx-minus-to-minus-the-minus-3
How to find the derivative of cos(x^3)
To find the derivative of cos(x^3), 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^3)?▼
The derivative of cos(x^3) is -3*sin(x^3)*x^2.
How do you find the derivative of cos(x^3)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -3*sin(x^3)*x^2.
Why is the derivative of cos(x^3) equal to -3*sin(x^3)*x^2?▼
Because differentiation measures how a function changes — applying the rules to cos(x^3) yields -3*sin(x^3)*x^2. See the full step-by-step breakdown above.