Consider the function defined for .

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

Problem

Consider the function

f(x)=\bigl(\ln x\bigr)+3\sin x

defined for

x>0

. (a) Calculate

f'(x)

. (b) Determine the equation of the line tangent to the graph of

f

at

x=1

.

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