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Find the slope of the tangent line to f(x)=19f(x) = 19 at x=2x = 2.\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 f(x)=19f(x) = 19 at x=2x = 2.\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 f(x)=19f(x) = 19 is a constant function, its derivative f(x)f'(x) is 00, because the slope of a constant function is always zero.
  2. Calculate tangent line slope: Calculate the slope of the tangent line at x=2x = 2.\newlineThe slope of the tangent line to the function at any point is given by the derivative at that point. Since f(x)=0f'(x) = 0, the slope at x=2x = 2 is also 00.

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