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Find the slope of the tangent line to $g(x) = x$ at $x = 5$ . $\newline$ 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 = 5

.

\newline

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

\newline

____

\newline

Identify Function and Point: Step $1$ : Identify the function and the point where the slope is needed. $\newline$ Function: $g(x) = x$ $\newline$ Point: $x = 5$
Find Derivative of Function: Step $2$ : Since $g(x) = x$ is a linear function, its derivative, which represents the slope of the tangent line, is constant across all values of $x$ . Derivative of $g(x) = 1$
Evaluate Derivative at Point: Step $3$ : Evaluate the derivative at $x = 5$ . Since the derivative is $1$ , the slope at any point, including $x = 5$ , is $1$ .

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