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Find the slope of the tangent line to g(x)=7g(x) = -7 at x=19x = 19.\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)=7g(x) = -7 at x=19x = 19.\newlineWrite your answer as an integer or a fraction. Simplify any fractions.\newline____\newline
  1. Identify function type: Identify the type of function and its derivative.\newlineSince g(x)=7g(x) = -7 is a constant function, its derivative, g(x)g'(x), which represents the slope of the tangent line at any point xx, is 00.
  2. Calculate tangent line slope: Calculate the slope of the tangent line at x=19x = 19. Since the derivative g(x)=0g'(x) = 0 for all xx, the slope of the tangent line at x=19x = 19 is also 00.

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