EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2020 (13-Oct Shift 1)>Q 7

MEDIUM

MHT-CET

IMPORTANT

Earn 100

The equation of a normal to the curve $x = 4 \sec θ$ and $y = 4 \tan^{2} θ$ at $θ = \frac{π}{4}$ is

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Important Questions on Application of Derivatives

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2018>Q 8

If the line

y = 4 x - 5

touches to the curve

y^{2} = a x^{3} + b

at the point

(2, 3)

then

7 a + 2 b =

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2017>Q 9

The point on the curve

y = \sqrt{x - 1}

where the tangent is perpendicular to the line

2 x + y - 5 = 0

is

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2019>Q 10

The function

f (x) = x^{3} - 3 x

is

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2018>Q 11

The minimum value of the function

f (x) = x \log x

is

HARD

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2020 (12-Oct Shift-1)>Q 12

The maximum value of the function

y = e^{5 + \sqrt{3} \sin x + \cos x}

is

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2018>Q 13

If

f (x) = \frac{x}{x^{2} + 1}

is an increasing function then the value of

x

lies in

HARD

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2017>Q 14

The maximum value of

f (x) = \frac{\log x}{x} (x \neq 0, x \neq 1)

is

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2020 (12-Oct Shift-1)>Q 15

If

f (x) = |x - 2|, x \in [0, 4]

, then the Rolle's theorem cannot be applied to the function because