MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Competitive Thinking>Q 21

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The differential coefficient of $f [\log (x)]$ when $f (x) = \log x$ is

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Important Questions on Differentiation

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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>Competitive Thinking>Q 22

If

y = \log_{2} (\log_{2} x)

, then

\frac{d y}{d x}

is

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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>Competitive Thinking>Q 23

If

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

, 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>Competitive Thinking>Q 24

\frac{d}{d x} [\cos {(1 - x^{2})}^{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>Competitive Thinking>Q 25

\frac{d}{d x} [e^{x} \log (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>Competitive Thinking>Q 26

\frac{d}{d x} (e^{x} logsin 2 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>Competitive Thinking>Q 27

\frac{d}{d x} (e^{\sqrt{1 - x^{2}}} \cdot \tan 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>Competitive Thinking>Q 28

If

y = \frac{e^{2 x} + e^{- 2 x}}{e^{2 x} - e^{- 2 x}}

, 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>Competitive Thinking>Q 29

If

y = \log x \cdot e^{(\tan x + x^{2})}

, then

\frac{d y}{d x} =