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