JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

f'(x) = g(x)

and

g'(x) = - f(x)

for all real

x

and

f(5) = 2 = f'(5),

then

{f^2}(10) + {g^2}(10)

equals

View answer and explanation

Correct option: C

Option C (8) is correct because the expression

{f^2}(10) + {g^2}(10)

is constant and equal to

{f^2}(5) + {g^2}(5)

, which evaluates to 8.

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