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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaMedium2 minPYQ_2022
MathematicsMediumsingle choice

Letf: RRbe a function defined byfx=x-3n1x-5n2, n1, n2N. The, which of the following is NOT true?

Options:

Answer:
C
Solution:

Given,

fx=x-3n1x-5n2

Differentiating the function to get maxima and minima, we get

f'x=x-3n1-1x-5n2-1n1+n2x-5n1+3n2n1+n2

Now checking the option, we get

Option (3) is incorrect since

for n1=3, n2=5

f'x=8x-32x-54x-308

minima at x=308.

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima
2mℹ️ Source: PYQ_2022

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