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  • Explain solution RD Sharma class 12 chapter Maxima and Minima exercise Multiple choice question, question 25 maths

Explain solution RD Sharma class 12 chapter Maxima and Minima exercise Multiple choice question, question 25 maths

Answers (1)

Answer: option(d) 2

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

Given: f(x)=2x^3-15x^2+36x+4

Solution:

We have,

f(x)=2x^3-15x^2+36x+4

\Rightarrow f'(x)=6x^2-30x+36                                      

For maxima and minima f'(x)=0

\Rightarrow 6x^2-30x+36=0

\Rightarrow x^2-5x+6=0

\Rightarrow (x-2)(x-3)=0

\Rightarrow x=2,3

Now,

f''(x)=12x-30

f''(2)=24-30=-6<0

f''(3)=36-30=6>0

So, x= 2 is the local maxima.

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