JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

Let

f(x)

and

g(x)

be defined and differentiable for all

x \geq x_0

and

f\left(x_{0})=g\left(x_0\right), f^{\prime}(x) > g^{\prime}(x)\right.

for

x > x_0

, then

View answer and explanation

Correct option: C

f(x) > g(x), x > x_0

The correct answer is C (

f(x) > g(x), x > x_0

) because since

f'(x) > g'(x)

for

x > x_0

and

f(x_0) = g(x_0)

f(x)

increases faster than

g(x)

after

x_0

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

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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)