हिंदी

State whether the following statement is True or False: If y = x2, then the rate of change of demand (x) of a commodity with respect to its price (y) is 12x - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

State whether the following statement is True or False:

If y = x2, then the rate of change of demand (x) of a commodity with respect to its price (y) is `1/(2x)`

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

True

shaalaa.com
Derivatives of Inverse Functions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.3: Differentiation - Q.3

संबंधित प्रश्न

Find the derivative of the inverse function of the following : y = x ·7


Find the derivative of the inverse function of the following : y = x log x


Find the derivative of the inverse of the following functions, and also find their value at the points indicated against them. y = ex + 3x + 2


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


Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 25x + log(1 + x2)


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 g is the inverse of f and f'(x) = `1/(1 + x^4)` then g'(x) = ______


Find the derivative of the inverse of function y = 2x3 – 6x and calculate its value at x = −2


Let f(x) = x5 + 2x – 3 find (f−1)'(-3)


Choose the correct alternative:

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


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


I.F. of dx = y (x + y ) dy is a function of ______.


The I.F. of differential equation `dy/dx+y/x=x^2-3  "is" log x.`


If y = `cos^-1 sqrt((1 + x^2)/2`, then `dy/dx` = ______.


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×