JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

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Analyzing +4 | -1

f\left( x \right) = {\cos ^2}x + {\cos ^2}\left( {x + \frac{\pi }{3}} \right) + \sin x\sin \left( {x + \frac{\pi }{3}} \right)

and

g\left( {\frac{5}{4}} \right) = 3

, then

\frac{d}{{dx}}\left( {gof\left( x \right)} \right) =

View answer and explanation

Correct option: B

Option B (0) is correct because f(x) simplifies to a constant,

\frac{5}{4}

, making gof(x) also a constant, and the derivative of a constant is 0.

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