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  • Need solution for RD Sharma maths class 12 chapter Maxima and Minima exercise Multiple Choice question, question 20.

Need solution for RD Sharma maths class 12 chapter Maxima and Minima exercise Multiple Choice question, question 20.

Answers (1)

Answer: option(a) 75

Hint: For local maxima or minima, we must have f'(x)=0.

Given: f(x)=x^2+\frac{250}{x}

Solution:

We have,

 f(x)=x^2+\frac{250}{x}

f'(x)=2x-\frac{250}{x^2}                                                   

For maxima and minima f'(x)=0

\Rightarrow 2x-\frac{250}{x^2}=0

\Rightarrow 2x^3=250

\Rightarrow x^3=125

\Rightarrow x=5

Now,

f^{\prime \prime}(x)=2+\frac{500}{x^{3}}=2+\frac{500}{5^{3}}=2+\frac{500}{125}=\frac{750}{125}=6>0

So, x = 5 is a local minima.

f(x)_{min}=(5)^2+\frac{250}{5}=25+50=75

Posted by

infoexpert24

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