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GATE DA 2024 Set 1 — Question 33

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NAT+1 / -0EasyDifferentiationContinuity & DifferentiabilityCalculus & Optimization

Calculus & Optimization → Continuity & Differentiability → Differentiation

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Question

Let f:R→Rf: \mathbb{R} \rightarrow \mathbb{R} be the function f(x)=11+e−xf(x) = \frac{1}{1+e^{-x}}.
The value of the derivative of ff at xx where f(x)=0.4f(x) = 0.4 is ______
(rounded off to two decimal places).
Note: R\mathbb{R} denotes the set of real numbers.
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