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Please solve RD Sharma class 12 chapter Derivative as a Rate Measure exercise 12.1 question 9 maths textbook solution

Answers (1)

Answer: Rs 208


To find marginal revenue we have to differentiate total revenue R(x)  with respect to units x




Here we have,

Units, x=7

  Total\; r\! evenue \; R(x)=13x^{2}+26x+15

Let’s differentiate R(x) with respect to x

\therefore \frac{d R(x)}{d x}=R^{\prime}(x)=\frac{d}{d x}\left(13 x^{2}+26 x+15\right)

\therefore R'(x)=26x+26                            \left[\because \frac{d\left(x^{n}\right)}{d x}=n x^{n-1}\right]

Let's put x=7

\therefore R'(7)=26(7)+26

\therefore R'(7)=208

So, the marginal revenue for x=7 is 208.

Posted by

Gurleen Kaur

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