Let f(x)= cases x^ 2 , & x<2

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let

f(x)=\begin{cases} x^{2}, & x<2,\\ kx-4, & x\ge 2. \end{cases}

For which value of

k

is

f

differentiable at

x=2

? (a)

k=2

(b)

k=8

(c)

k=4

(d)

k=3

Related theory

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