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Explain solution RD Sharma class 12 chapter Derivative as a Rate Measure exercise 12.1 question 8 maths

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Answer: Rs 20.967


To find marginal cost at given point, we have to differentiate the function with respect to its variable and put the value of variable in formula.




Here we have,

Marginal cost


Let’s differentiate the c(x) with respect to x

\therefore \frac{dc(x)}{dx}=c'(x)

=3\times 0.007x^{2}-2\times 0.003x+15                \left[\because \frac{d\left(x^{n}\right)}{d x}=n x^{n-1}\right]

Let's put x=17 units

\therefore c'(17)=3\times 0.007(17)^{2}-2\times 0.003\times 17+15


\therefore c'(17)=20.967 Rs

So 20.967 Rs is the marginal cost when 17 units are produced.




Posted by

Gurleen Kaur

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