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Application of Derivatives question

2010 · Shift 0 · Q30

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2010 · Shift 0 · Q30

Application of Derivatives question

2010 · Shift 0 · Q30

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let

f:R \to R

be defined by

f\left( x \right) = \left\{ {\begin{matrix} {k - 2x,\,\,if} & {x \le - 1} \\ {2x + 3,\,\,if} & {x \gt - 1} \\ \end{matrix} } \right.

If

f

has a local minimum at

x=-1

, then a possible value of

k

is

A
$0$
B
$- {1 \over 2}$
C
$-1$
D
$1$

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