HSC Commerce (English Medium) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

Solve the following example: The total cost of producing x units is given by C = 10e^2x, find its marginal cost and average cost when x = 2.

Solve the following example: The demand function is given as P = 175 + 9D + 25D² . Find the revenue, average revenue, and marginal revenue when demand is 10.

The supply S for a commodity at price P is given by S = P² + 9P − 2. Find the marginal supply when price is 7/-.

The cost of producing x articles is given by C = x² + 15x + 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.

Differentiate the following function .w.r.t.x. : x⁵

Differentiate the following function w.r.t.x. : x⁻²

Differentiate the following function w.r.t.x. : `xsqrt x`

Differentiate the followingfunctions.w.r.t.x.: `1/sqrtx`

Find `dy/dx if y = x^2 + 1/x^2`

Find `dy/dx if y=(sqrtx+1)^2`

Find `dy/dx if y = (sqrtx + 1/sqrtx)^2`

Find `dy/dx if y = x^3 – 2x^2 + sqrtx + 1`

Find `dy/dx` if y = x² + 2^x – 1

Find `dy/dx` if y = (1 – x) (2 – x)

Find `dy/dx if y=(1+x)/(2+x)`

Find `dy/dx if y = ((logx+1))/x`

Find `dy/dx if y = "e"^x/logx`

Find `dy/dx`if y = x log x (x² + 1)

The relation between price (P) and demand (D) of a cup of Tea is given by D = `12/"P"`. Find the rate at which the demand changes when the price is Rs. 2/-. Interpret the result.

The demand (D) of biscuits at price P is given by D = `64/"P"^3`, find the marginal demand when price is Rs. 4/-.