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

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MCQ

Choose the correct alternative:

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

Options

  • `1/("at"^3)`

  • `(-1)/(2"at"^3)`

  • `(-1)/("at"^2)`

  • `1/("at"^2)`

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Solution

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

Concept: Derivatives of Inverse Functions
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Chapter 1.3: Differentiation - Q.1

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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`


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