WebCalculus. Find the Horizontal Tangent Line f (x)=xe^ (-x) f (x) = xe−x f ( x) = x e - x. Find the derivative. Tap for more steps... −e−xx+e−x - e - x x + e - x. Set the derivative equal to 0 0 then solve the equation −e−xx+ e−x = 0 - e - x x + e - x = 0. WebHorizontal Tangent. Example Let Find those points on the graph at which the tangent line is a horizontal. The key is to find those x where Since which means f has horizontal tangent at x =0, and But we need to find the corresponding values for y; (0, f (0)), and This implies that f has horizontal tangent at the following points: (0,0), and. Wei ...
Find the values where the function has horizontal tangents
Web11. Find f ′ (x) and find the value(s) of x where the tangent line is horizontal. f (x) = x 7 (x − 10) 3 f ′ (x) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The tangent line is horizontal at x = (Use a comma to separate answers as needed.) B. The tangent line is never horizontal. WebMar 11, 2024 · The tangent line always has a slope of 0 at these points (a horizontal line), but a zero slope alone does not guarantee an extreme point. Here's how to find them: … pro class challenge
How to Find the Equation of a Tangent Line: 8 Steps - WikiHow
WebMar 11, 2024 · Sketch the tangent line going through the given point. (Remember, the tangent line runs through that point and has the same slope as the graph at that point.) Example 1: Sketch the graph of the parabola. f ( x) = 0.5 x 2 + 3 x − 1 {\displaystyle f (x)=0.5x^ {2}+3x-1} . Draw the tangent going through point (-6, -1). WebFind all the values of x where the tangent line is horizontal. f (x)= = x3 - 5x2 - 9x + 11 X= (Use a comma to separate answers as needed. Type an exact answer, using radicals as … WebFeb 4, 2024 · 1 Find the values of x on the interval [ − 2 π, 0] where the tangent line to the graph of y = sin ( x) cos ( x) is horizontal. I found a problem similar to this one, but I got … pro clash royale