009A Sample Final 3, Problem 10

Let  $y=\tan(x).$

(a) Find the differential  $dy$  of  $y=\tan(x)$  at  $x={\frac {\pi }{4}}.$

(b) Use differentials to find an approximate value for  $\tan(0.885).$  Hint:  ${\frac {\pi }{4}}\approx 0.785.$

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