Differentiation (p-1) - Maharashtra Board STD 11 Commerce / Arts Maths (commerce) Questions

Q 1Solve the following Question.(1 Marks)1 Mark

Solve the following: : The price function $P$ of a commodity is given as $P=20+D-D^2$ where $D$ is demand. Find the rate at which price $(P)$ is changing when demand $D=3$.

View full solution →

Q 2Solve the following Question.(1 Marks)1 Mark

Find $\frac{d y}{d x}$ if : $y=(1-x)(2-x)$

View full solution →

Q 3Solve the following Question.(1 Marks)1 Mark

Find $\frac{d y}{d x}$ if : $y=x^2+2 x-1$

View full solution →

Q 4Solve the following Question.(1 Marks)1 Mark

Differentiate the following functions w.r.t.x. : $7^x$

View full solution →

Q 5Solve the following Question.(1 Marks)1 Mark

Differentiate the following functions w.r.t.x. : $\frac{1}{\sqrt{x}}$

View full solution →

Q 6Solve the Following Question.(2 Marks)2 Marks

Solve the following: : The supply $S$ for a commodity at price $P$ is given by $S=P^2+9 P-2$. Find the marginal supply when the price is $7 /-$.

View full solution →

Q 7Solve the Following Question.(2 Marks)2 Marks

Solve the following: : If for a commodity; the price demand relation is given as $D=\left(\frac{P+5}{P-1}\right)$. Find the marginal demand when price is ₹ 2 /

View full solution →

Q 8Solve the Following Question.(2 Marks)2 Marks

Solve the following: : The demand $D$ for a price $P$ is given as $D=\frac{27}{P}$, find the rate of change of demand when the price is ₹ 3 /-.

View full solution →

Q 9Solve the Following Question.(2 Marks)2 Marks

Solve the following: : The total cost of producing $x$ items is given by $C=x^2+4 x+4$. Find the average cost and the marginal cost. What is the marginal cost when $x=7$ ?

View full solution →

Q 10Solve the Following Question.(2 Marks)2 Marks

Solve the following: : The supply $S$ of electric bulbs at price $P$ is given by $S=2 p^3+5$. Find the marginal supply when the price is ₹ $5 /-$. Interpret the result.

View full solution →

Q 11Solve the Following Question.(3 Marks)3 Marks

Solve the following: : The demand $(D)$ of biscuits at price $P$ is given by $D=\frac{64}{P^3}$, find the marginal demand when the price is ₹ 4 /-

View full solution →

Q 12Solve the Following Question.(3 Marks)3 Marks

Solve the following: : The relation between price $(P)$ and demand $(D)$ of a cup of Tea is given by $D=\frac{12}{P}$. Find the rate at which the demand changes when the price is ₹ $2 /-$. Interpret the result.

View full solution →

Q 13Solve the Following Question.(3 Marks)3 Marks

Solve the following examples: : The cost of producing $x$ articles is given by $C=x^2+15 x+81$. Find the average cost and marginal cost functions. Find marginal cost when $x=10$. Find $x$ for which the marginal cost equals the average cost.

View full solution →

Q 14Solve the Following Question.(3 Marks)3 Marks

Solve the following examples: : If for a commodity; the demand function is given by, $D=\sqrt{75-3 P}$. Find the marginal demand function when $P=5$.

View full solution →

Q 15Solve the Following Question.(3 Marks)3 Marks

Solve the following examples: : The total cost function of producing $n$ notebooks is given by $C=1500-75 n+2 n^2+\frac{n^3}{5}$
Find the marginal cost at $n=10$.

View full solution →

Q 16Solve the Following Question.(4 Marks)4 Marks

Solve the following: : The cost of producing $x$ articles is given by $C=x^2+15 x+81$. Find the average cost and marginal cost functions. Find the marginal cost when $x=10$. Find $x$ for which the marginal cost equals the average cost.

View full solution →

Q 17Solve the Following Question.(4 Marks)4 Marks

Solve the following: : If the total cost function is given by $C=5 x^3+2 x^2+1$; find the average cost and the marginal cost when $x=4$.

View full solution →

Q 18Solve the Following Question.(4 Marks)4 Marks

Solve the following examples: : The demand function is given as $P=175+9 D+25 D^2$. Find the revenue, average revenue, and marginal revenue when demand is 10 .

View full solution →

Q 19Solve the Following Question.(4 Marks)4 Marks

Solve the following examples: : If the total cost function is given by; $C=5 x^3+7 x^2+7$; find the average cost and the marginal cost when $x=4$.

View full solution →

Q 20Solve the Following Question.(4 Marks)4 Marks

Find the derivatives of the following functions by the first principle : \begin{equation}
\frac{x-1}{2 x+7}
\end{equation}

View full solution →

Differentiation (p-1) question types

Differentiation (p-1) questions

Generate a Differentiation (p-1) paper free

Differentiation (p-1) Maths (commerce) - Differentiation (p-1)

Differentiation (p-1) question types

Differentiation (p-1) questions

Generate a Differentiation (p-1) paper free