हिंदी

Choose the correct alternatives: What is the rate of change of demand (x) of a commodity with respect to its price (y) if y = 10 + x + 25x3. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

What is the rate of change of demand (x) of a commodity with respect to its price (y) if y = 10 + x + 25x3.

विकल्प

  • `10/(1 + 75x^2)` 

  • `1/(1 + 75x^2)` 

  • 1 + 75x2

  • `(-1)/(1 + 75x^2)` 

MCQ

उत्तर

`1/(1 + 75x^2)` 

shaalaa.com
Derivatives of Inverse Functions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.3: Differentiation - Q.1

संबंधित प्रश्न

Find the derivative of the function y = f(x) using the derivative of the inverse function x = f-1(y) in the following: y = `sqrt(2 - sqrt(x)`


Find the derivative of the function y = f(x) using the derivative of the inverse function x = f–1(y) in the following:

y = log(2x – 1)


Find the derivative of the function y = f(x) using the derivative of the inverse function x = f–1(y) in the following: y = ex – 3


Find the derivative of the inverse function of the following : y = x2·ex 


Find the derivative of the inverse of the following functions, and also find their value at the points indicated against them. y = sin(x – 2) + x2 


Using derivative, prove that: tan –1x + cot–1x = `pi/(2)`


Using derivative, prove that: sec–1x + cosec–1x = `pi/(2)`    ...[for |x| ≥ 1]


State whether the following is True or False:

If f′ is the derivative of f, then the derivative of the inverse of f is the inverse of f′.


If y = `"x"^3 + 3"xy"^2 + 3"x"^2"y"` Find `"dy"/"dx"`


If `"x"^3 + "y"^2 + "xy" = 7` Find `"dy"/"dx"`


Choose the correct alternative:

If x = at2, y = 2at, then `("d"^2y)/("d"x^2)` = ?


Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 5 + x2e–x + 2x


Find rate of change of demand (x) of a commodity with respect to its price (y) if y = `(3x + 7)/(2x^2 + 5)`


If `int (dx)/(4x^2 - 1)` = A log `((2x - 1)/(2x + 1))` + c, then A = ______.


Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 12 + 10x + 25x2


Find the rate of change of demand (x) of a commodity with respect to its price (y) if

y = 12 + 10x + 25x2


Find the rate of change of demand (x) of a commodity with respect to its price (y) if 

y = `12 + 10x + 25x^2`


Find the rate of change of demand (x) of a commodity with respect to its price (y) if  y = 12 + 10x + 25x


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×