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  1. Show that the Tangent Line Approximations May Underestimate …

    Learn how to show that a tangent line approximation may underestimate or overestimate the corresponding function value as determined by the function's behavior near the point of …

  2. What is the tangent line approximation for e^x near x=0

    Nov 5, 2014 · The tangent line approximation would include the point (0,1) since e x goes through it.

  3. Tangent Line Approximations - Mathematics Stack Exchange

    Sep 26, 2017 · The tangent line to the graph of $f$ at $x = 2$ is used to approximate values of $f (x)$. What might be the greatest value of $x$, where the error resulting from tangent line …

  4. Find the tangent line approximation T to the graph of f at the …

    Jan 12, 2021 · We first need to find the slope of the line tangent to the graph, then using the given point, plug into the point-slope equation, y - y 1 = m (x - x 1), to find our equation of the line …

  5. How to Find the Approximate Value of a Curve By Using the …

    Learn how to find the approximate value of a curve by using the equation of a tangent line, and see examples that walk through sample problems step-by-step for you to improve your math …

  6. linear approximation and derivative help | Wyzant Ask An Expert

    Feb 21, 2015 · Suppose you increase the height by 17/100. In this problem, use tangent line approximation to estimate the new value of r so that the new cone has the same total surface …

  7. Linear Approximation | Formula, Derivation & Examples - Study.com

    Nov 21, 2023 · What is the derivation of the linearization formula? The linear approximation formula is the same as the equation of the line that is tangent to the function f (x) at the point x …

  8. Use tangent line to find approximation - Mathematics Stack …

    Use tangent line to find approximation Ask Question Asked 11 years, 7 months ago Modified 11 years, 7 months ago

  9. Finding the Approximate Value of a Curve By Using the Equation …

    Practice Finding the Approximate Value of a Curve By Using the Equation of a Tangent Line with practice problems and explanations. Get instant feedback, extra help and step-by-step …

  10. Linear approximation | Wyzant Ask An Expert

    Oct 30, 2023 · Use linear approximation, i.e the tangent line, to approximate cube root 8.02 as follows. Let f (x)=cube root x and find the equation of the tangent line to f (x) at x=8 in the form …