Question 13 MarksThe demand function is $p=50-4 x$. Find elasticity of demand at $x=10$.Answer$\frac{1}{4}$View full question & answer→
Question 23 MarksIf total cost of $x$ units is $C=x^{\frac{3}{2}}+10 x+500$ then find marginal cost at $x=100$ and then interpret it too.AnswerMarginal cost $=25$View full question & answer→
Question 33 MarksIf the demand function is $x=50-3 p$, find marginal revenue at $x=10$.AnswerMarginal revenue $=10$View full question & answer→
Question 43 MarksFind stationary point for $f(x)=8 x^2-4 x+17$.Answer$x=\frac{1}{4}$View full question & answer→
Question 53 MarksDetermine whether a function $y=\sqrt{x}+\frac{1} {\sqrt{x}}$ is increasing or decreasing at $x=2$.AnswerIncreasing functionView full question & answer→
Question 63 MarksDetermine whether a function $y=2 x^2-7 x+10$ is increasing or decreasing at $x=1$ and $x=2$.AnswerDecreasing function at $x=1$, increasing function at $x=2 \quad$View full question & answer→
Question 73 Marks$y=\frac{1}{\sqrt{x^3+x-1}}$Answer$\frac{-\left(3 x^2+1\right)}{2\left(x^2+x-1\right)^{\frac{3}{2}}}$View full question & answer→
Question 83 Marks$y=\sqrt{3 x^2-5 x+9}$Answer$\frac{6 x-5}{2 \sqrt{3 x^2-5 x+9}}$View full question & answer→
Question 93 Marks$y=\left(x^2-7 x+11\right)^5$Answer$5\left(x^2-7 x+11\right)^4 \cdot(2 x-7)$View full question & answer→
Question 133 Marks$y=\left(x^2-3 x+5\right)-(7 x+4)$Answer$21 x^2-34 x+23$View full question & answer→
Question 143 MarksFor which value of $x, f^{\prime \prime \prime}(x)=74$, if $f(x)=5 x^3-8 x^2-2 x-15$ ?Answer$x=3$View full question & answer→
Question 153 MarksFind $\frac{d^2 y}{d x^2}$ if $y=\left(x^2-3\right)^2$Answer$12\left(x^2-1\right)$View full question & answer→
Question 163 MarksThe demand function is $x=100-\sqrt{p}$. Find elasticity of demand at $p=400$.Answer$\frac{1}{8}$View full question & answer→
Question 173 MarksIf $y=x^3-24 x+17$, for which value of $x$, the first and the second derivative are equal ?Answer$x=4$ or $-2$View full question & answer→
Question 183 MarksFind $f^{\prime \prime}(3)$, if $f(x)=2 x^4-x^3+5 x^2-9 x+10$Answer$208$View full question & answer→
Question 193 MarksUsing the definition, obtain derivative of $y=\frac{1}{a x+b}$.Answer$\overline{(a x+b)^2}$View full question & answer→
Question 203 MarksState the method for obtaining the maximum and minimum values of a function.Answerસ્વપ્રયત્નView full question & answer→
Question 213 MarksFind elasticity of demand at $p=20$, if the demand function is $x=80-3 p$.Answer$3$View full question & answer→
Question 223 MarksObtain derivative of $y=x^{\frac{1}{3}}$ using the definition.Answer$\frac{1}{3} x^{\frac{-7}{3}}$View full question & answer→
Question 233 MarksObtain derivative of $y=10 x-3$ using the definition.Answer$10$View full question & answer→