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

Choose the correct alternatives: What is the rate of change of demand (x) of a commodity with respect to its price (y) if y = 3x+72x2+5 - Mathematics and Statistics

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

पर्याय

  • `(2x^2 + 5)^2/((-6x^2 - 38x + 15))`

  • `(2x^2 + 5)^2/((-6x^2 - 28x + 15))`

  • `(2x^2 + 5)^2/((6x^2 - 28x + 15))`

  • `(2x^2 + 5)^2/((6x^2 - 38x + 15))`

MCQ

उत्तर

`(2x^2 + 5)^2/((-6x^2 - 28x + 15))`

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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(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 = ex – 3


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_2(x/2)`


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


Find the derivative of the inverse function of the following : y = x2 + 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


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 = 18x + log(x - 4).


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"^3 = "x"^2 - "y"^2`, Find `"dy"/"dx"`


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


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.


State whether the following statement is True or False:

If y = 10x + 1, then `("d"y)/("d"x)` = 10x.log10


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)`


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


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


Find `dy/dx`, if y = `sec^-1((1 + x^2)/(1 - x^2))`.


Find the rate of change of demand (x) of a commodity with respect to its price (y) if `y=12+10x+25x^2`


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