Derivative of 10*sin(x)
Answer
10*cos(x)
Derivative of 10*sin(x)
- Rule Used
- Constant Multiple Rule
- Steps
- in(x) is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
- Final answer: os(x)
The derivative of 10*sin(x) is 10*cos(x).
Instant step-by-step solution for 10*sin(x)
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Derivative of 10*sin(x) = 10*cos(x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-10sinx
How to find the derivative of 10*sin(x)
To find the derivative of 10*sin(x), 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 10*sin(x)?▼
The derivative of 10*sin(x) is 10*cos(x).
How do you find the derivative of 10*sin(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 10*cos(x).
Why is the derivative of 10*sin(x) equal to 10*cos(x)?▼
Because differentiation measures how a function changes — applying the rules to 10*sin(x) yields 10*cos(x). See the full step-by-step breakdown above.