Is a function which satisfies

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

Problem

y = f(x)

is a function which satisfies (i)

f(0) = 0

(ii)

f''(x) = f'(x)

and (iii)

f'(0) = 1

Then, the area bounded by the graph of

y = f(x)

, the lines

x = 0, x - 1 = 0

and

y + 1 = 0

, is (1)

e

(2)

e - 2

(3)

e - 1

(4)

e + 1

Related theory

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