• Answer:-

    To find a vertical tangent line of a function ???? ( ???? ) f(x), you need to identify points where the derivative ???? ′ ( ???? ) f ′ (x) is undefined or approaches infinity. Follow these steps: Differentiate the Function: Compute ???? ′ ( ???? ) f ′ (x). Check for Undefined Slopes: Solve for ???? x where ???? ′ ( ???? ) f ′ (x) is undefined (denominator = 0 if it's a fraction). Verify the Point: Ensure ???? ( ???? ) f(x) is defined at that ???? x-value. Write the Equation: The vertical tangent line is ???? = ???? x=a, where ???? a is the found ???? x-value. This process works for curves with steep slopes.

Feb 05 2025

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