Derivative of 5*cos(x)
Answer
-5*sin(x)
Derivative of 5*cos(x)
- Rule Used
- Constant Multiple Rule
- Steps
- os(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: -in(x)
The derivative of 5*cos(x) is -5*sin(x).
Instant step-by-step solution for 5*cos(x)
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Derivative of 5*cos(x) = -5*sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-5cosx
How to find the derivative of 5*cos(x)
To find the derivative of 5*cos(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 5*cos(x)?▼
The derivative of 5*cos(x) is -5*sin(x).
How do you find the derivative of 5*cos(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is -5*sin(x).
Why is the derivative of 5*cos(x) equal to -5*sin(x)?▼
Because differentiation measures how a function changes — applying the rules to 5*cos(x) yields -5*sin(x). See the full step-by-step breakdown above.