A Level

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

Problem

Let

f(x)=\ln\!\left(\sqrt{1+4x^{2}}\,\right)

. (i) Find

f'(x)

for general

x

. (ii) Hence, determine the exact value of

f'(1)

. (iii) Express your answer in the form

\dfrac{a}{b}

, where

a

and

b

are positive integers in their lowest terms.

Related theory

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