HSC Commerce (English Medium) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Solve the following example: The total cost function of producing n notebooks is given by C= 1500 − 75n + 2n² + `"n"^3/5`. Find the marginal cost at n = 10.

Solve the following example: The total cost of ‘t’ toy cars is given by C=5(2^t)+17. Find the marginal cost and average cost at t = 3.

Solve the following example: If for a commodity; the demand function is given by, D = `sqrt(75 − 3"P")`. Find the marginal demand function when P = 5.

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`