PBTE | DAE | MATH-233 APPLIED MATHEMATICS-I | MCQs | Chapter : 02 Derivatives

DAE MATH-233

Contents

1. Applied Mathematics-II
   1. Chapter 2 : Derivatives
   2. Multiple Choice Questions
   3. Chapter:02 (Derivatives)
   4. Question 1:
   5. Question 2:
   6. Question 3:
   7. Question 4:
   8. Question 5:
   9. Question 6:
   10. Question 7:
   11. Question 8:
   12. Question 9:
   13. Question 10:
2. Quiz Results

Applied Mathematics-II

Chapter 2 : Derivatives

DAE Common Technologies | Second Year

Multiple Choice Questions

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• MATH-233
• Chapter 2 (Derivatives)

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

Total Questions:

Correct Answers:

Incorrect Answers:

Percentage:

Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12

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INSTRUCTOR

MUHAMMAD BIN JAMEEL

BSC ENGG. CIVIL