The derivative of a differentiable function is given by cases 2, & for 0 x 2, -1, &…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The derivative of a differentiable function

f

is given by

\begin{cases} 2, & \text{for } 0 \le x \le 2,\\ -1, & \text{for } 2 < x \le 3. \end{cases}

f(0)=5

, determine the value of

f(3)