A differentiable function is defined by (y(x)=e^ 3x h(x) )

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

A differentiable function is defined by

y(x)=e^{3x}h(x)

. Suppose

y'(x)=8e^{3x}

for all real

x

and

h(0)=2

. What is the value of

h'(0)

? (a)

6

(b)

2

(c)

0

(d)

8

Related theory

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