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  • Need solution for RD Sharma maths class 12 chapter Maxima and Minima exercise Multiple Choice question, question 16.

Need solution for RD Sharma maths class 12 chapter Maxima and Minima exercise Multiple Choice question, question 16.

Answers (1)

Answer: option(b) 16

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

Given: x + y = 8

Solution:

We have,

x+y =8\Rightarrow y=8-x                                                                  …(i)

Let f(x)=xy

\Rightarrow f(x)=x(8-x)                                                         (From Equation i)

\Rightarrow f'(x)=8-2x                                             

For maxima and minima f'(x)=0

\Rightarrow 8-2x=0

\Rightarrow 8=2x

\Rightarrow x=4

\Rightarrow y=8-x=8-4=4

Now,

f''(x)=-2

f''(4)=-2<0

So, x = 4 is the local maxima.

Hence, f(4)=4 \times 4=16

Posted by

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