HSC Commerce (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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/-.

The supply S of electric bulbs at price P is given by S = 2P³ + 5. Find the marginal supply when the price is ₹ 5/- Interpret the result.

If the total cost function is given by C = 5x³ + 2x² + 1; Find the average cost and the marginal cost when x = 4.

Find the equation of the line passing through the points A(2, 0) and B(3, 4).

Line y = mx + c passes through the points A(2, 1) and B(3, 2). Determine m and c.