Derivative of sin(10*x)+cos(4x)
Answer
-4*sin(4*x)+10*cos(10*x)
Derivative of sin(10*x)+cos(4x)
- Rule Used
- Sum Rule
- Steps
- Differentiate + term by term. The sum rule says the derivative of a sum is the sum of the derivatives, and the derivative of a constant term is 0, so that term disappears.
- Final answer: -in()+os()
The derivative of sin(10*x)+cos(4*x) is -4*sin(4*x)+10*cos(10*x).
Instant step-by-step solution for sin(10*x)+cos(4x)
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Derivative of sin(10*x)+cos(4x) = -4*sin(4*x)+10*cos(10*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sin10x-minus-plus-minus-cos4x
How to find the derivative of sin(10*x)+cos(4x)
To find the derivative of sin(10*x)+cos(4x), 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 sin(10*x)+cos(4x)?▼
The derivative of sin(10*x)+cos(4x) is -4*sin(4*x)+10*cos(10*x).
How do you find the derivative of sin(10*x)+cos(4x)?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -4*sin(4*x)+10*cos(10*x).
Why is the derivative of sin(10*x)+cos(4x) equal to -4*sin(4*x)+10*cos(10*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(10*x)+cos(4x) yields -4*sin(4*x)+10*cos(10*x). See the full step-by-step breakdown above.