मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Choose the correct alternative: If x = at2, y = 2at, then d2ydx2 = ? - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

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

पर्याय

  • `1/("at"^3)`

  • `(-1)/(2"at"^3)`

  • `(-1)/("at"^2)`

  • `1/("at"^2)`

MCQ

उत्तर

`(-1)/(2"at"^3)`

shaalaa.com
Derivatives of Inverse Functions
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 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 = 2x + 3


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 


Choose the correct option from the given alternatives :

If g is the inverse of function f and f'(x) = `(1)/(1 + x)`, then the value of g'(x) is equal to :


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


Find the marginal demand of a commodity where demand is x and price is y.

y = `"x"*"e"^-"x" + 7`


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 = `tan^-1((2x)/(1 - x^2))`, x ∈ (−1, 1) then `("d"y)/("d"x)` = ______.


Differentiate `tan^-1[(sqrt(1 + x^2) - 1)/x]` w.r. to `tan^-1[(2x sqrt(1 - x^2))/(1 - 2x^2)]`


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


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)`


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


If y = `sin^-1((2tanx)/(1 + tan^2x))`, find `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`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×