PBTE | DAE | MATH-212 APPLIED MATHEMATICS-I | MCQs | Chapter : 02 Derivatives

DAE MATH-212

Applied Mathematics-II

Chapter 2 : Derivatives

DAE Common Technologies | Second Year

Multiple Choice Questions

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Chapter:02 (Derivatives)

Question 1:

\({\frac{d}{dx}}{(2x+3)^4}=\)

\(8{(2x+3)^3}\) \(4{(2x+3)^3}\) \({(2x+3)^3}\) \(4{(2x+3)^2}\)

Question 2:

\({\frac{d}{dx}}{(\frac{1}{x})}=\)

\(\frac{1}{x^2}\) \(-\frac{1}{x^2}\) \(-\frac{1}{x^3}\) \(\frac{2}{x}\)

Question 3:

\(m{x^{m-1}}\) is the differential w.r.t. x of

\(m(m-1){x^{m-2}}\) \((m-1){x^{m-2}}\) \({x^m}\) \(m{x^m}\)

Question 4:

\({\frac{d}{dx}}{(ax+b)^2}\)

\({2(ax+b)}\) \({2a(ax+b)}\) \({\frac{(ax+b)^3}{3}}\) \({2(ax+b)b}\)

Question 5:

Second derivative of \(x^2\) is

\(2\) \(2x\) \(Zero\) \(2{x^2}\)

Question 6:

\(\lim_{x \to 0} {\frac{\partial y}{\partial x}}\) is also denoted by

\({\frac{dy}{dx}}\) \({\int}dx\) \(y\) \({D^2}y\)

Question 7:

\({\frac{dy}{dx}}{\sqrt{(1+x)}}\)

\({\frac{1}{\sqrt{1+x}}}\) \({\frac{1}{2\sqrt{1+x}}}\) \({(1+x)^{1/3}}\) \({\frac{-1}{2\sqrt{1+x}}}\)

Question 8:

If \(u={t^2}-3\) then \({\frac{du}{dt}}=\)

\(2t\) \(2t-3\) \(t^{-2}\) \(2t^{-2}\)

Question 9:

If \(y={u^2}\) and \(u=x\) then \({\frac{dy}{dx}}\)

\(2x\) \(u^2\) \(x\) \(2{x^2}\)

Question 10:

If \(y=\frac{x+1}{x}\) then \({\frac{dy}{dx}}=\)

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

Quiz Results

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Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9

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INSTRUCTOR

MUHAMMAD BIN JAMEEL

BSC ENGG. CIVIL