JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)=\sin ^4 x+\cos ^4 x

. Then

f

is increasing function in the interval

View answer and explanation

Correct option: A

\left(\frac{\pi}{4}, \frac{\pi}{2}\right)

Option A (

\left(\frac{\pi}{4}, \frac{\pi}{2}\right)

) is correct because the derivative of the function is positive in this interval, indicating an increasing function.

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

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a

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\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)