हिंदी

The demand (D) of biscuits at price P is given by D = 64P3, find the marginal demand when price is Rs. 4/-.

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

Given demand D =`64/"P"^3`

Now, marginal demand = `("dD")/("dP")`

=`"d"/("dP")(64/"P"^3)`

= `64"d"/("dP")("P"^-3)`

= 64 (– 3) P– 4

= `(-192)/"P"^4`

When P = 4
Marginal demand =`(("dD")/("dP"))_("P"=4)`

= `(-192)/(4)^4`

= `(-192)/256`

= `(-3)/4`

shaalaa.com
Rules of Differentiation (Without Proof)
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Differentiation - Miscellaneous Exercise 9 [पृष्ठ १२४]

APPEARS IN

बालभारती Mathematics and Statistics (Commerce) Part 1 [English] Standard 11 Maharashtra State Board
अध्याय 9 Differentiation
Miscellaneous Exercise 9 | Q III. (2) | पृष्ठ १२४

संबंधित प्रश्न

Differentiate the following function w.r.t.x. : `1/("e"^x + 1)`


Differentiate the following function w.r.t.x. : `x/log x`


Differentiate the following function w.r.t.x. : `2^x/logx`


Differentiate the following function w.r.t.x. : `((x+1)(x-1))/(("e"^x+1))`


If for a commodity; the price-demand relation is given as D =`("P"+ 5)/("P" - 1)`. Find the marginal demand when price is 2.


The demand function of a commodity is given as P = 20 + D − D2. Find the rate at which price is changing when demand is 3.


Solve the following example: The total cost of ‘t’ toy cars is given by C=5(2t)+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 = 10e2x, 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.


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


Find `dy/dx` if y = x2 + 2x – 1


Find `dy/dx` if y = (1 – x) (2 – x)


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


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


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.


Select the correct answer from the given alternative:

If y = `(x - 4)/(sqrtx + 2)`, then `("d"y)/("d"x)`


Select the correct answer from the given alternative:

If y = `(3x + 5)/(4x + 5)`, then `("d"y)/("d"x)` =


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×