A differentiable function has derivative q'(x)= cases 2, & 0 x<1, -1, & 1 x<4, 1, & 4 x 6

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

A differentiable function

q

has derivative

q'(x)=\begin{cases} 2, & 0\le x<1,\\ -1, & 1\le x<4,\\ 1, & 4\le x\le 6. \end{cases}

q(0)=3

, what is the value of

q(6)

? (a)

5

(b)

1

(c)

4

(d)

7