JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Application +4 | -1

f(x)

is a differentiable function satistying

f^{\prime}(x)<2

for all

x \in R, f(1)=2

, then greatest possible integral value of

f(3)

View answer and explanation

Correct option: C

Option C (5) is correct because it represents the greatest possible integral value of f(3) based on the given conditions and the Mean Value Theorem.

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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)