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