If y = cos^(-1)(x), then 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: Recall the relationship between the derivative of the inverse cosine function and its derivative formula.
- Step 3: The formula for the derivative of y = cos^(-1)(x) is dy/dx = -1/√(1 - x^2).
- Step 4: This formula is derived from the fact that the derivative of cos(y) with respect to y is -sin(y), and using implicit differentiation.
No concepts available.
