Question 12 MarksFind $\frac{d^2 y}{d x^2}$ if $y=\left(x^{-2}\right)^{-1}$.Answer$2$View full question & answer→
Question 22 MarksIf the total cost of producing $x$ units is $1.5 x^2-15 x+900$ then for which value of $x$, the marginal cost is zero?Answer$x=5$View full question & answer→
Question 32 MarksObtain marginal revenue function if the demand function is $p=10-3 x$.AnswerMarginal revenue function $=10-6 x$View full question & answer→
Question 42 MarksFind $\frac{d^2 y}{d x^2}$ if $y=\frac{1}{x^{\frac{1}{3}}}$.Answer$\frac{24}{25 x^{\frac{11}{3}}}$View full question & answer→
Question 52 MarksFor which value of $x, f^{\prime}(x)=f(x)$ if $f(x)=\sqrt{x}$ ?Answer$x=\frac{1}{2}$View full question & answer→
Question 62 MarksIf $y=x^2-8 x+15$, for which values of $x, \frac{d y}{d x}=0$ ?Answer$x=4$View full question & answer→
Question 72 MarksState whether the function $f(x)=30+7 x-x^2$ is increasing or decreasing at $x=5$.AnswerDecreasing functionView full question & answer→
Question 82 MarksWhen can it be said that function $f(x)$ is decreasing function at $x=a$ ?View full question & answer→
Question 92 MarksWhen can it be said that function $f(x)$ is increasing function at $x=a$ ?View full question & answer→
Question 122 MarksState the conditions for production cost function $C$ to be minimum.View full question & answer→
Question 132 MarksState the conditions for revenue function $R$ to be maximum.View full question & answer→
Question 142 MarksFind $\frac{d^2 y}{d x^2}$ if $y=1+\frac{1}{x}$.Answer$\frac{2}{x^3}$View full question & answer→
Question 152 MarksObtain $\frac{d y}{d x}$ if $3 x+2 y-10=0$.Answer$-\frac{3}{2}$View full question & answer→
Question 162 MarksFind $\frac{d^2 y}{d x^2}$ if $y=\frac{400 x^2-75}{100}$Answer$8$View full question & answer→
Question 172 MarksDefine elasticity of demand and write the formula for finding elasticity of demand from demand function.Answerસ્વપ્રયત્નView full question & answer→
Question 182 MarksHow is the profit function obtained if demand function is $p=f(x)$ where $p=$ price, $x=$ demand and cost function is $C$ ?Answerસ્વપ્રયત્નView full question & answer→
Question 192 MarksState the sufficient conditions for a function $f(x)$ to be maximum or minimum at $x=a$.Answerસ્વપ્રયત્નView full question & answer→