MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Classical Thinking>Q 47

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IMPORTANT

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If $x = a^{2} (\sin θ + cosec θ)$ $y = a^{2} (\sin θ - cosec θ)$ , then $\frac{d y}{d x} =$

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Important Questions on Differentiation

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Classical Thinking>Q 48

If

y = \log (a x + b)

, then

\frac{d^{2} y}{d x^{2}}

is

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Classical Thinking>Q 49

If

y = \log (\sin x)

, then

\frac{d^{2} y}{d x^{2}}

equals

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Classical Thinking>Q 50

If

\sqrt{x y} = 1

, then

\frac{d^{2} y}{d x^{2}} =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Classical Thinking>Q 51

If

y = \sin m x

, then

\frac{d^{2} y}{d x^{2}} + m^{2} y =

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Classical Thinking>Q 52

If

y = 2 \sin x + 3 \cos x

, then

y + \frac{d^{2} y}{d x^{2}}

is

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Classical Thinking>Q 53

If

x = a \cos n t - b \sin n t

, then

\frac{d^{2} x}{d t^{2}} =

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Classical Thinking>Q 54

If

y = a \sin (m x) + b \cos (m x)

, then

\frac{d^{2} y}{d x^{2}}

is equal to

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Classical Thinking>Q 55

If

y = a + b x^{2}

, where

a, b

are constants, then