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+1 vote
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in Limit, continuity and differentiability by (54.8k points)

Let f: R → R and g: R → R be two non-constant differentiable functions. If f'(x) = (e(f(x) - g(x)))g'(x) for all x ∈ R, and f(1) = g(2) = 1,  then which of the following statement(s) is(are) TRUE? 

(A) f(2) < 1 – loge

(B) f(2) > 1 – loge

(C) g(1) >1 – loge

(D) g(1) < 1 – loge2

1 Answer

+1 vote
by (52.5k points)
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Best answer

Answer is (B), (C)

Subtracting the above two equations, we get

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