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Find the instantaneous rate of change of k(x)=−6k(x) = -6 at x=−18x = -18.\newlineWrite your answer as an integer or a fractions" target="_blank" class="backlink">fraction. Simplify any fractions.\newline____\newline

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Q. Find the instantaneous rate of change of k(x)=−6k(x) = -6 at x=−18x = -18.\newlineWrite your answer as an integer or a fraction. Simplify any fractions.\newline____\newline
  1. Identify function type: Identify the type of function. k(x)=−6k(x) = -6 is a constant function, meaning its value doesn't change regardless of xx.
  2. Calculate derivative: Calculate the derivative.\newlineThe derivative of a constant function is 00. Therefore, ddxk=0\frac{d}{dx}k = 0.
  3. Evaluate at x=−18x = -18: Evaluate the derivative at x=−18x = -18.\newlineSince the derivative of k(x)k(x) is 00, the instantaneous rate of change at any point, including x=−18x = -18, is 00.

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