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Find the slope of the tangent line to g(x)=xg(x) = x at x=17x = -17.\newlineWrite your answer as an integer or a fractions" target="_blank" class="backlink">fraction. Simplify any fractions.\newline____\newline

Full solution

Q. Find the slope of the tangent line to g(x)=xg(x) = x at x=17x = -17.\newlineWrite your answer as an integer or a fraction. Simplify any fractions.\newline____\newline
  1. Identify Function and Point: Identify the function and the point where the slope is needed.\newlineFunction: g(x)=xg(x) = x\newlinePoint: x=17x = -17
  2. Determine Derivative: Determine the derivative of g(x)g(x) to find the slope of the tangent line.\newlineDerivative of g(x)=1g(x) = 1 (since the derivative of xx with respect to xx is 11)
  3. Evaluate Derivative at x=17x = -17: Evaluate the derivative at x=17x = -17 to find the slope at that point.\newlineSlope at x=17=1x = -17 = 1 (since the derivative is constant)

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