मराठी

Differentiate the following function w.r.t.x. : x−2 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

Let y = x–2
Differentiating w.r.t. x, we get

`dy/dx=d/dx(x^(-2))`

= `-2x^-3`

= `(-2)/(x^3)`

shaalaa.com
Rules of Differentiation (Without Proof)
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Differentiation - Miscellaneous Exercise 9 [पृष्ठ १२३]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board
पाठ 9 Differentiation
Miscellaneous Exercise 9 | Q I. (2) | पृष्ठ १२३

संबंधित प्रश्‍न

Find the derivative of the following w. r. t. x. : `logx/(x^3-5)`


Find the derivative of the following w. r. t.x. : `(3e^x-2)/(3e^x+2)`


Find the derivative of the following function by the first principle: 3x2 + 4


Find the derivative of the following function by the first principle: `x sqrtx`


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


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


Solve the following example: If the total cost function is given by; C = 5x3 + 2x2 + 7; find the average cost and the marginal cost when x = 4.


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(2t)+17. Find the marginal cost and average cost at t = 3.


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


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


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


Find `dy/dx`if y = x log x (x2 + 1)


Differentiate the following w.r.t.x :

y = `x^(4/3) + "e"^x - sinx`


Differentiate the following w.r.t.x :

y = `sqrt(x) + tan x - x^3`


Differentiate the following w.r.t.x :

y = `log x - "cosec"  x + 5^x - 3/(x^(3/2))`


Differentiate the following w.r.t.x :

y = `x^(7/3) + 5x^(4/5) - 5/(x^(2/5))`


Select the correct answer from the given alternative:

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×