?Let $g(x)=\int_{0}^{x} f(t) d t$, where $f$ is the function whose graph is

Chapter 4, Problem 4

(choose chapter or problem)

Let $g(x)=\int_{0}^{x} f(t) d t$, where $f$ is the function whose graph is shown.

(a) Use Part 1 of the Fundamental Theorem of Calculus to graph $g^{\prime} .$

(b) Find $g(3), g^{\prime}(3)$, and $g^{\prime \prime}(3)$.

(d) Does $g$ have a local maximum, a local minimum, or neither at $x=9$ ?

Equation Transcription:

$g(x)=\int\limits_{0}^{x}(t)dt$

$f$

$g'$

$g(3),g'(3),g"(3)$

$g$

$x=6$

$g$

$x=9$

Text Transcription:

g(x)=integral over 0 ^x (t)dt

g(3),g'(3),g"(3)

x=6

x=9

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?Let \(g(x)=\int_{0}^{x} f(t) d t\), where \(f\) is the function whose graph is