JEE MATHEMATICS MCQ: MAXIMA & MINIMA

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)=\left\{\begin{array}{l}1+\sin x, \quad x<0 \\ x^2-x+1, x \geq 0\end{array}\right.

Then,

View answer and explanation

Correct option: A

f

has a local maximum at

x=0

Option A (

f

has a local maximum at

x=0

) is correct because the function is continuous at x=0, and the derivative changes from positive to negative at x=0.

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