Horizontal tangent lines

Related BrainMass Solutions

• Functions and Graphs - y=3x^4+4x^3-6x^2-12x : Tangent Line, Extrema, Intervals of Decrease and Concavity

  Thus: Thus at the tangent lines to the function are horizontal. The points where the tangent lines are horizontal are possible relative minima and maxima points.

• Derivatives and Tangent Lines

  Derivatives and tangent lines are investigated. The points on the graphs with zero slopes are located.

• Differientiate the function and tangent line

  For the function, find the points on the graph at which the tangent line is horizontal. y = 2x - 1 a) The tangent line is horizontal to the graph at b) there is no solution 1) By addition rule and quotient rule, 2) 3) By chain rule:

• Horizontal and vertical line on a polar curve

  lines at θ=π/(4 ) and 5π/4 This solution shows how to find the points on the given curve where the tangent line is horizontal and when it is vertical.

• Question about Differentiation proof

  This is a proof regarding the intercepts and horizontal tangent lines of a function.

• Horizontal and Vertical Asymptotes, Vertical Tangents and Cusps

  on , so for First we need to find f'(x) , So clearly when , f'(x) does not exist, When x=-2, When x=2, So the two vertical tangent lines are and .

• Tangent lines

  is horizontal.

• Analyzing graphs and finding derivatives

  In #6 the slopes of the tangent lines to the V-shaped curve are: a negative constant before the corner, no tangent line at the corner, a positive constant after the corner. The broken horizontal line reflects this.

• Word Problem Involving Tangent Function

  If you connect these two lines with a third, diagonal line, you have made a right triangle. Because the triangle is a right triangle, you can use trig functions like sine, cosine, or tangent.