WebOct 23, 2016 Β· To solve this question, we can sub in -2x wherever we see a y in our original equation (substitution method). x^2 + x(-2x) + (-2x)^2 = 1 x^2 -2x^2 +4x^2 = 1 3x^2 = 1 x^2 = 1/3 x = +- sqrt(1/3) STEP 5: Now that we know the x-value of the point, we can easily find the y-value of the point because we know y=-2x where the tangent line is horizontal. WebOct 24, 2024 Β· π Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When gi...
Horizontal tangent to implicit curve (video) Khan Academy
WebAug 22, 2024 Β· If you plot the slope of the line (see gradient) you'll see a dip toward y=0 at the area around ~3.5 but it doesn't quite reach 0 so it's not technically flat.You may want to set a threashold (slope ~2?) and identify the area I think you're refering to by searching for slopes that fall below the threshold after the initial rise of the slope curve. WebFeb 11, 2024 Β· The tangent is hozirontal if k=0, or this is the same if f' (x 0 )=0. Therefore we have to find such x: f' (x)=0. f' (x)=3x 2 -8x=0. x=0, x=8/3. if x=0, then y=0. if x=8/3, then y= (8/3) 3- -4 (8/3) 2 =-256/27. (x, y) = (0, 0) smaller. (x, y)= (8/3, -256/27) larger. Upvote β’ β¦ id support services
Find all values of x on the interval [0,2pi] where the lines tangent β¦
WebTranscribed Image Text: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a graph from a calculator or computer to check your work. (If an answer does not exist, enter DNE.) x = tΒ³3t, y=tΒ²-7 horizontal tangent vertical tangent (smaller x-value) vertical tangent (larger x-value) (x, y) = (x, y) = (x, y) = WebNov 16, 2024 Β· $\begingroup$ I've reached that (π₯β1)2((π₯β3)2+3)β(π₯β3)2((π₯β1)2+1)=0 step before in one of my attempts but I couldn't think of any number I can replace with x and it will be working, that's why I'm stuck and not sure what to do! $\endgroup$ β ibrahim Mohamed WebQuestion: Find all values of x (if any) where the tangent line to the graph of the given equation is horizontal. HINT [The tangent line is horizontal when its slope is zero.] (If β¦ isset oficinas