Question

Find the slope of the line tangent to the graph of y = sin- 1 x at
x = 0.

Answer 1

1.

Explanation:

First find the derivative of sin-1x.

This is a standard derivative and it is 1 /√(1 - x^2)

This is the slope of the graph at x.

Slope at x = 0 = 1 /√(1 - 0^2)

= 1/1 = 1,