Let f(x) be continuous on [0,5] and differentiable in (0,5). If f(0)=0 and {| f^{'}(x) |} \leq \frac{1}{5} for all x in (0,5), then \forall x in [0,5]

WBJEE 2025 Math Paper

Question : 38 of 75

Marks: +1, -0

Let f(x) be continuous on [0,5] and differentiable in (0,5). If f(0)=0 and |f′(x)|≤‌

for all x in (0,5), then ∀x in [0,5]

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