MCQ 11 MarkWhat is the derivative of $y=x^5+\frac{1}{5}$ ?✓$5 x^4$B$x^5+\frac{1}{5}$C$5 x^4+5$D$x^5-\frac{1}{5}$AnswerCorrect option: A. $5 x^4$View full question & answer→
MCQ 21 MarkWhat is $\frac{d y}{d x}$ if $y=\frac{1}{\sqrt[3]{x}}$ ?A$\frac{1}{3}$B$\frac{1}{3 \sqrt{x}}$✓$\frac{-1}{3 x^{\frac{4}{3}}}$D$-3 x^2$AnswerCorrect option: C. $\frac{-1}{3 x^{\frac{4}{3}}}$View full question & answer→
MCQ 31 MarkIf the profit function $=P$, revenue function $=R$ and cost function $=C$ then what is the profit function?A$R=P-C$B$P=C-R$C$C=R+P$✓$P=R-C$AnswerCorrect option: D. $P=R-C$View full question & answer→
MCQ 41 MarkIf the revenue function is $R=7 x ($where, $x=$ demand$),$ what is the unit price of the commodity?✓$7$B$0$C$1$DCan be any positive numberAnswerCorrect option: A. $7$View full question & answer→
MCQ 51 MarkThe total cost function of producing $x$ units is $C=5 x^2+100$. What is the marginal cost for $10$ units ?A$600$✓$100$C$150$D$200$AnswerCorrect option: B. $100$View full question & answer→
MCQ 61 MarkWhat are the necessary and sufficient conditions for a function $f(x)$ to be the maximum at $x=a$ ?A$f^{\prime}(a)>0 ; f^{\prime \prime}(a)=0$B$f^{\prime}(a)<0 ; \quad f^{\prime \prime}(a)>0$✓$f^{\prime}(a)=0 ; \quad f^{\prime \prime}(a)<0$D$f^{\prime}(a)=0 ; f^{\prime \prime}(a)>0$AnswerCorrect option: C. $f^{\prime}(a)=0 ; \quad f^{\prime \prime}(a)<0$View full question & answer→
MCQ 71 MarkA function is decreasing at $x=a$. Which of the following can be said for $f^{\prime}(a)$ ?✓$f^{\prime}(a)<0$B$f^{\prime}(a)>0$C$f^{\prime}(a)=0$D$f^{\prime}(a)=1$AnswerCorrect option: A. $f^{\prime}(a)<0$View full question & answer→
MCQ 81 MarkWhat is the derivative of $y=\frac{5}{2 x^4}$ ?A$\frac{-20}{x^5}$B$\frac{5}{8 x^3}$C$8 x^3$✓$\frac{-10}{x^5}$AnswerCorrect option: D. $\frac{-10}{x^5}$View full question & answer→
MCQ 91 MarkWhat is $f^{\prime}(x)$ for $f(x)=\sqrt{x}$ ?A$1$B$0$✓$\frac{1}{2 \sqrt{x}}$D$2 \sqrt{x}$AnswerCorrect option: C. $\frac{1}{2 \sqrt{x}}$View full question & answer→
MCQ 101 MarkIf $y=3 x-7$, find $\frac{d y}{d x}$.✓$3$B$-7$C$10$D$-4$AnswerCorrect option: A. $3$View full question & answer→
MCQ 111 MarkWhat is the value of $\frac{d y}{d x}$ if $y=\frac{x}{5}$ ?A$0$B$5$✓$\frac{1}{5}$D$-5$AnswerCorrect option: C. $\frac{1}{5}$View full question & answer→
MCQ 121 MarkIn usual notations, which of the following is the formula for the chain rule ?A$\frac{d y}{d x}=\frac{d u}{d x} \times \frac{d y}{d v}$✓$\frac{d y}{d x}=\frac{d y}{d u} \times \frac{d u}{d x}$C$\frac{d y}{d x}=\frac{d u}{d v} \times \frac{d v}{d x}$D$\frac{d y}{d u}=\frac{d y}{d x} \times \frac{d x}{d v}$AnswerCorrect option: B. $\frac{d y}{d x}=\frac{d y}{d u} \times \frac{d u}{d x}$View full question & answer→
MCQ 131 MarkIf $y=f(x)$, what is the other way to represent its derivative $f^{\prime}(x)$ ?A$f^{\prime \prime}(x)$✓$\frac{d y}{d x}$C$\frac{d x}{d y}$D$f^{-1}(x)$AnswerCorrect option: B. $\frac{d y}{d x}$View full question & answer→
MCQ 141 MarkWhat is name of the process of finding derivative of a function ?✓DifferentiationBDerivativeCIntegrationDRatioAnswerCorrect option: A. DifferentiationView full question & answer→