Derivative of asin(x/10)
Answer
(1/10)*sqrt((-1/100)*x^2+1)^(-1)
Derivative of asin(x/10)
- 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: (1/10)*
The derivative of asin(x/10) is (1/10)*sqrt((-1/100)*x^2+1)^(-1).
Instant step-by-step solution for asin(x/10)
Share this result
Derivative of asin(x/10) = (1/10)*sqrt((-1/100)*x^2+1)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-asinx-minus-over-minus-10
How to find the derivative of asin(x/10)
To find the derivative of asin(x/10), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
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)
Derivative of asin(x)
Solve d/dx asin(x)
Derivative of atan(x)
Solve d/dx atan(x)
Derivative of cos(2x)
Solve d/dx cos(2x)
Frequently Asked Questions
What is the derivative of asin(x/10)?▼
The derivative of asin(x/10) is (1/10)*sqrt((-1/100)*x^2+1)^(-1).
How do you find the derivative of asin(x/10)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is (1/10)*sqrt((-1/100)*x^2+1)^(-1).
Why is the derivative of asin(x/10) equal to (1/10)*sqrt((-1/100)*x^2+1)^(-1)?▼
Because differentiation measures how a function changes — applying the rules to asin(x/10) yields (1/10)*sqrt((-1/100)*x^2+1)^(-1). See the full step-by-step breakdown above.