Derivative of x*sin(x)
- Answer
- cos(x)*x+sin(x)
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions: use the product rule (uv)' = u'v + uv'.
- Differentiate each factor and combine.
- Final answer: cos(x)*x+sin(x)
Share this result
Derivative of x*sin(x) = cos(x)*x+sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-sin-x
How to find the derivative of x*sin(x)
To find the derivative of x*sin(x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of 1/sqrt(1-x^2)
Solve d/dx 1/sqrt(1-x^2)
Derivative of 1/sqrt(10-x^2)
Solve d/dx 1/sqrt(10-x^2)
Derivative of 1/sqrt(2-x^2)
Solve d/dx 1/sqrt(2-x^2)
Derivative of 1/sqrt(3-x^2)
Solve d/dx 1/sqrt(3-x^2)
Derivative of 1/sqrt(4-x^2)
Solve d/dx 1/sqrt(4-x^2)
Derivative of 1/sqrt(5-x^2)
Solve d/dx 1/sqrt(5-x^2)
Derivative of 1/sqrt(6-x^2)
Solve d/dx 1/sqrt(6-x^2)
Derivative of 1/sqrt(7-x^2)
Solve d/dx 1/sqrt(7-x^2)
Derivative of 1/sqrt(8-x^2)
Solve d/dx 1/sqrt(8-x^2)
Derivative of 1/sqrt(9-x^2)
Solve d/dx 1/sqrt(9-x^2)