Let f: \mathbb{R} \to \mathbb{R} be a differentiable function that satisfies the relation {\f}( {\x}+ {\y})= {\f}( {\x})+ {\f}( {\y})-1, \forall {\x}, y \in \mathbb{R}. If f^{'}(0)=2, then |f(-2)| is equal to ______ [29-Jan-2023 Shift 1]

Differentiation

Section: Mathematics

Question : 31 of 78

Marks: +1, -0

Let f:ℝ→ℝ be a differentiable function that satisfies the relation f(x+y)=f(x)+f(y)−1,∀x, y∈ℝ. If f′(0)=2, then |f(−2)| is equal to ______

[29-Jan-2023 Shift 1]

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