The horizontaltangentlines on function( f(x)=xe^(-x)) are ( y=1/e). ( y=1/e)结果一 题目 Find the Horizontal Tangent Line f(x)=x^3-7x^2${\displaystyle f\left(x\right)={x}^{3}-7{x}^{2}}$ 答案 Find the derivative.${\displaystyle 3{x}^{2}-14x}$Set the derivati...
( f(x)=2x) Find the derivative. ( 2) Since ( 2≠ 0), there are no solutions. No solution There are no solution found by setting the derivative equal to ( 0), ( 2=0) so there are no horizontaltangentlines. No horizontaltangentlines found反馈...
Step 6: Find the tangent at the vertexThe tangent to the parabola at the vertex (0, 0) is a horizontal line (since the parabola opens downwards). Therefore, the equation of the tangent line at the vertex is:Tangent at the vertex=y=0(the x-axis) Step 7: Find the length of the la...
Find the horizontal and vertical tangents to the graph of r=−1+sinθ;0≤θ≤2π Tangent Lines: Given a polar curve with equation r=r(θ) the slope of tangent line is the derivative of the curve y with respect to x. This last can be ...
Determine \frac{dy}{dx} for the polar equation r = 2 + 3 \sin \theta \\ a) find all horizontal tangent lines \\ b) find all vertical tangent lines. Consider the polar curve r = 1 - \sin \theta . a. Find polar coordinates for the points on the curve wher...
Since ( =0), the equation will always be true. Always true The horizontaltangentlines on function( f(x)=((4-x^(2/3)))^(3/2),-((4-x^(2/3)))^(3/2)) are ( y=Always(true)). ( y=Always) true反馈 收藏
Subtract ( xy) from both sides of the equation. ( (sin)(x+y)-xy=0) Set( (sin)(x+y)-xy) as a function of ( x). ( f(x)=0) ( f=0) is not a function of ( f=0). Therefore, it is either a horizontal or verticalfunction and has no horizontaltangentline. No horizon...
Find the value on the horizontal axis or x value of the point of the curve you want to calculate the tangent for and replace x on the derivative function by that value. To calculate the tangent of the example function at the point where x = 2, the resulting value would be f'(2) =...
If r=a+bcosθ is the equation of a curve in parametric form, then the slope of the tangent is given by the derivative or r, i.e, r′(θ)=−bsinθ. This means the slope of tangent varies for different values of θ. If the slope becomes 0, the t...
Find the point where the tangent is horizontal line to the curve x = 5 - t^2, y = t^3 - 12 t. Find the point where the tangent line to the curve c(t) = (6t^2 - 1, 3t^2 - 18t) is horizontal. Find the point where the tangent line to the curve \langle...