Derivative of 7*sin(x)
Answer
7*cos(x)
Derivative of 7*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 7*sin(x) is 7*cos(x).
Instant step-by-step solution for 7*sin(x)
Share this result
Derivative of 7*sin(x) = 7*cos(x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-7sinx
How to find the derivative of 7*sin(x)
To find the derivative of 7*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-x
Solve d/dx 1-x
Derivative of 1/x
Solve d/dx 1/x
Derivative of 1/x^2
Solve d/dx 1/x^2
Derivative of 10^x
Solve d/dx 10^x
Derivative of 2^x
Solve d/dx 2^x
Derivative of 2x
Solve d/dx 2x
Derivative of 3x^2
Solve d/dx 3x^2
Derivative of 5x
Solve d/dx 5x
Derivative of Abs(x)
Solve d/dx Abs(x)
Derivative of acos(x)
Solve d/dx acos(x)
Frequently Asked Questions
What is the derivative of 7*sin(x)?▼
The derivative of 7*sin(x) is 7*cos(x).
How do you find the derivative of 7*sin(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 7*cos(x).
Why is the derivative of 7*sin(x) equal to 7*cos(x)?▼
Because differentiation measures how a function changes — applying the rules to 7*sin(x) yields 7*cos(x). See the full step-by-step breakdown above.