Chapter 9.2, Problem 46E

(a)

To determine

To calculate: The approximate value of $f^{\prime }\left(x\right)$ when $f\left(x\right)=\left|\sin \left(1-x\right)\right|$ if the function is differentiable at the point $a=0$.

(b)

To determine

To calculate: The approximate value of $f^{\prime }\left(x\right)$ when $f\left(x\right)=\left|\sin \left(1-x\right)\right|$ if the function is differentiable at the point $a=1$.