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  • Help me please, - Limit , continuity and differentiability - JEE Main-11

Let f(x) = x^3 - x^2 + x then number of points which are either local maxima or local minima is ?

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As we have learned

Methods to find points of Local maxima and Local minima -

At points of local maxima and local minima the slope of tangent drawn to the curve is zero.For local maximum dy / dx changes from positive to negative and for local minimum dy / dx change negative to positive.

- wherein

 

f'(x)=3x^{2}-2x+1

\because 3> 0 .. and .. D= (-2)^{2}-4(3)(1)= -8< 0

\because f'(x)> 0 .. \forall ..n\epsilon R

so derivative doesn't change sign 

\therefore no local maxima and minima  

 

 

 

 

 

 


Option 1)

0

Option 2)

1

Option 3)

2

Option 4)

3

Posted by

Himanshu

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