JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

f^{\prime \prime}(x)=-f(x)

, where

f(x)

is a continuous double differentiable function and

g(x)=f^{\prime}(x)

.

If

F(x)=\left\{f\left(\frac{x}{2}\right)\right\}^2+\left\{g\left(\frac{x}{2}\right)\right\}^2

and

F(5)=5

, then

F(10)

View answer and explanation

Correct option: B

Option B (5) is correct because F(x) is a constant function, and since F(5) = 5, then F(10) = 5.

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