Determining if a tangent line approximation is an overestimate or underestimate: If the tangent line used in a tangent line approximation is above the graph of {eq}f {/eq} near a point {eq}a, {/eq ...

Use tangent line to find approximation. Ask Question Asked 10 years, 10 months ago.

2023年11月21日 · So, the tangent line is a good estimate, or a close approximation, of the curve at that point. This is also known as local linear approximation, because the value of the curve is very close to the ...

Isn't a linear approximation a "perfect approximation" at the point at which the tangent line is equal to the curve? Ask Question Asked 8 years, 1 month ago

Tangent Line Approximation Using Taylor Series. Ask Question Asked 10 years, 7 months ago. Modified 10 ...

2020年7月8日 · I wanted to understand what it means that the tangent line is the best linear approximation to the graph of a differentiable function at the point of tangency. I've looked in several books and I don't understand anything yet. P.S. Where I wrote "linear approximation" read "affine approximation"...

Hint: You may find it helpful to hold a straight edge up to your computer screen to approximate a tangent line. of a certain function f , its derivative is known to be f'(x) = (x-1)e^{(-x^2)} Assuming that f (2) =- 3, estimate the value of f(1.88) by finding and using the tangent line approximation to f …

(b) Use the tangent line approximation at (-2, 3) to estimate the value o; Consider the curve defined by the equation x^{4}+y^{4}=4xy+52. Find all points on the curve at which the tangent line is horizontal. Consider the curve (a) Graph the curve. (b) Find the equation of the line tangent to the curve at the point (3,2) and graph the tangent line

2014年11月5日 · The tangent line approximation would include the point (0,1) since e x goes through it. To find the tangent line, we would also need to find the slope. We can do this by taking the derivative of y = e x and evaluating it at x = 0.

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 explanations.