JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

Let

g\left( x \right) = f\left( x \right) - 2{\left\{ {f\left( x \right)} \right\}^2} + 9{\left\{ {f\left( x \right)} \right\}^3}

for all

x \in R.

Then,

View answer and explanation

Correct option: A

g\left( x \right)

and

f\left( x \right)

increases and decrease together

Option A (

g\left( x \right)

and

f\left( x \right)

increases and decrease together) is correct because the derivative of g(x) has the same sign as the derivative of f(x).

More Questions from INCREASING & DECREASING

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

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\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)