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Find the slope of the tangent line to $g(x) = x$ at $x = 8$ . $\newline$ Write your answer as an integer or a fractions" target="_blank" class="backlink">fraction. Simplify any fractions. $\newline$ ____ $\newline$

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Find the slope of a tangent line using limits

Full solution

Q. Find the slope of the tangent line to

g(x) = x

at

x = 8

.

\newline

Write your answer as an integer or a fraction. Simplify any fractions.

\newline

____

\newline

Identify Function and Point: Identify the function and the point where the slope is needed. $\newline$ Function: $g(x) = x$ $\newline$ Point: $x = 8$
Determine Derivative of $g(x)$ : Determine the derivative of $g(x)$ , since the derivative represents the slope of the tangent line at any point $x$ . Derivative of $g(x)$ = $1$ (since the derivative of $x$ with respect to $x$ is $1$ )
Evaluate Derivative at $x = 8$ : Evaluate the derivative at $x = 8$ to find the slope of the tangent line at that point. $\newline$ Slope at $x = 8$ = $1$ (since the derivative is constant)

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