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AP Calculus AB
AP Exam Review Free Response 3
This Question is CALCULATOR INACTIVE
Please show all work on page 2 & 3
The function
g is defined and differentiable on the closed interval
[6,6] and satisfies
g(0)=4. The graph of
y=g^(')(x), the derivative of
g, consists of a semicircle and three line segments, as shown in the figure below.
(a) Find
g(5) and
g(-4).

AP Calculus AB $\newline$ AP Exam Review Free Response $3$ $\newline$ This Question is CALCULATOR INACTIVE $\newline$ Please show all work on page $2$ \& $3$ $\newline$ The function $g$ is defined and differentiable on the closed interval $[6,6]$ and satisfies $g(0)=4$ . The graph of $y=g^{\prime}(x)$ , the derivative of $g$ , consists of a semicircle and three line segments, as shown in the figure below. $\newline$ (a) Find $g(5)$ and $g(-4)$ .

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Find equations of tangent lines using limits

Full solution

Q. AP Calculus AB

\newline

AP Exam Review Free Response

3

\newline

This Question is **CALCULATOR INACTIVE**

\newline

Please show all work on page

2

\&

3

\newline

The function

g

is defined and differentiable on the closed interval

[6,6]

and satisfies

g(0)=4

. The graph of

y=g^{\prime}(x)

, the derivative of

g

, consists of a semicircle and three line segments, as shown in the figure below.

\newline

(a) Find

g(5)

and

g(-4)

.

Understand problem statement: First, we need to understand the problem statement. It mentions that $g$ is defined and differentiable on the interval $[6,6]$ , which seems to be a typo since an interval from $6$ to $6$ doesn't make sense for finding $g(5)$ and $g(-4)$ . Assuming it should be a broader interval that includes $-4$ and $5$ , let's proceed.

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