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Solve the given problems.On a calculator, find the values of (a) $1 / \sqrt{1-0.5^{2}}$ and (b) $\left(\sin ^{-1} 0.5001-\sin ^{-1} 0.5000\right) / 0.0001 .$ Compare the values and give the meaning of each in relation to the derivative of $\sin ^{-1} x$ where $x=0.5.$

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 3

Derivatives of the Inverse Trigonometric Functions

Derivatives

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So we need to find the value of one over the square root of one minus 0.5 squares by using scientific calculator. This gives us 1.154. So we have to hunt the values of part B arc sine of 0.50, warrant mindless oxen of zero point five zero, And that's equal to one 154.

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