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Find the slope of the tangent line to f(x)=xf(x) = x at x=−3x = -3.\newlineWrite your answer as an integer or a fractions" target="_blank" class="backlink">fraction. Simplify any fractions.

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Q. Find the slope of the tangent line to f(x)=xf(x) = x at x=−3x = -3.\newlineWrite your answer as an integer or a fraction. Simplify any fractions.
  1. Identify function and point: Identify the function and the point where we need the slope of the tangent. f(x)=xf(x) = x, point is x=−3x = -3.
  2. Find derivative of function: Since the function is linear, its slope is the same everywhere.\newlineThe derivative of f(x)=xf(x) = x is 11 (since the derivative of xx with respect to xx is 11).
  3. Calculate slope at point: The slope of the tangent line at any point on f(x)=xf(x) = x is therefore 11. This includes the point x=−3x = -3.

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