Let f : → and g : → be two non-constant differentiable functions. If f ′( x ) = (…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f : → and g : → be two non-constant differentiable functions. If
f ′(x) = (e(f(x) − g(x)))g ′(x) for all x ∈,
and f(1) = g(2) = 1, then which of the following statement(s) is (are) TRUE?
f ′(x) = (e(f(x) − g(x)))g ′(x) for all x ∈,
and f(1) = g(2) = 1, then which of the following statement(s) is (are) TRUE?
- f(2) < 1 − loge 2
- f(2) > 1 − loge 2
- g(1) > 1 − loge 2
- g(1) < 1 − loge 2
Answer
(B) f (2) > 1 − log e 2
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