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Standard XII

Mathematics

Monotonicity

Let f:[0,1]→ ...

Question

Let $f : [0, 1] \to 0$ (the set of all real numbers) be
a function. Suppose the function f is twice differentiable, $f (0) = f (1) = 0$ and satisfies $f^{''} (x) - 2 f^{'} (x) + f (x) \geq e^{x}, x ϵ [0, 1]$ .

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Let f:[0,1]→0 (the set of all real numbers) be a function. Suppose the function f is twice differentiable, f(0)=f(1)=0 and satisfies f′′(x)−2f′(x)+f(x)≥ex, x ϵ [0,1].

Let $f : [0, 1] \to 0$ (the set of all real numbers) be
a function. Suppose the function f is twice differentiable, $f (0) = f (1) = 0$ and satisfies $f^{''} (x) - 2 f^{'} (x) + f (x) \geq e^{x}, x ϵ [0, 1]$ .