If y = sin^(-1)(x), what is dy/dx?
Correct Answer: dy/dx = 1/sqrt(1-x^2)
- Step 1: Understand that y = sin^(-1)(x) means y is the angle whose sine is x.
- Step 2: To find dy/dx, we need to use the derivative formula for the inverse sine function.
- Step 3: The formula for the derivative of y = sin^(-1)(x) is dy/dx = 1/sqrt(1 - x^2).
- Step 4: This formula tells us how y changes with respect to x.
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