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

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MCQ

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.

Options

  • `10/(1 + 75x^2)` 

  • `1/(1 + 75x^2)` 

  • 1 + 75x2

  • `(-1)/(1 + 75x^2)` 

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Solution

`1/(1 + 75x^2)` 

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 

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