The function $\frac{1}{1+x^2}$ is decreasing in the interval

Important Questions on Applications of Derivatives

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Classical Thinking>Q 39

On the interval $\left(0,\frac{\pi }{2}\right),$ the function $\log \left(\sin x\right)$ is

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Classical Thinking>Q 40

The interval for which the given function $f\left(x\right)=2x^3-3x^2-36x+7$ is decreasing, is

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Classical Thinking>Q 41

The function $f\left(x\right)=2x^3-3x^2-12x+5$ has a minimum at $x=$

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Classical Thinking>Q 42

The sufficient conditions for the function $f:R\to R$ to be maximum at $x=a$ will be

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Classical Thinking>Q 43

The minimum value of the function $f\left(x\right)=7-20x+11x^2$ is

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Classical Thinking>Q 44

The minimum value of $2x^2+x-1$ is

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Classical Thinking>Q 45

The function $f\left(x\right)=2x^3-3x^2-12x+4$ has

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Classical Thinking>Q 46

The function $y=1-\cos x$ is maximum, when $x=$