Let for all real in the domain of .

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

f(x)=x e^{x}\tan x

for all real

x

in the domain of

\tan x

. (a) Calculate

f'(x)

, expressing your answer as a single simplified analytical expression. (b) Determine the exact value of

f'(0)

.

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