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

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If $y = \cot^{- 1} [\frac{\sqrt{1 + \sin x} + \sqrt{1 - \sin x}}{\sqrt{1 + \sin x} - \sqrt{1 - \sin x}}]$ , then $\frac{d y}{d x} =$

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Important Questions on Differentiation

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MHT-CET

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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>Critical Thinking>Q 53

If

y = \sin^{- 1} (\frac{5 \sin x + 4 \cos x}{\sqrt{41}})

, then

\frac{d y}{d x} =

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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>Critical Thinking>Q 54

If

y = \tan^{- 1} (\frac{1 + x}{1 - x})

, then

\frac{d y}{d x}

is equal to

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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>Critical Thinking>Q 55

\frac{d}{d x} [\tan^{- 1} (\frac{2}{x^{- 1} - x})] =

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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>Critical Thinking>Q 56

\frac{d}{d x} [\cos^{- 1} (\frac{x - x^{- 1}}{x + x^{- 1}})] =

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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>Critical Thinking>Q 57

\frac{d}{d x} [\tan^{- 1} (\frac{x}{\sqrt{a^{2} - 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>Critical Thinking>Q 58

If

y = \sin^{- 1} (\frac{2 x}{1 + x^{2}}) + \sec^{- 1} (\frac{1 + x^{2}}{1 - x^{2}})

, then

\frac{d y}{d x} =

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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>Critical Thinking>Q 59

\frac{d}{d x} [\sin^{- 1} (\sqrt{\frac{1 - 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>Critical Thinking>Q 60

If

y = \tan^{- 1} (\frac{e^{2 x} + 1}{e^{2 x} - 1})

, then

\frac{d y}{d x}

is