Calculus
posted by Drew .
Find the xcoordinates of all points on the graph of y = x^3  4x^2 + 5x at which the tangent line is parallel to 2y  10x  7 = 0

the slope of the given line is 5
so find dy/dx for the cubic
and set that result equal to 5
you will get a quadratic which factors nicely.
let me know what values of x you got. 
I got x=10/3 and x=6

3x^2  8x + 5 = 5
x(3x8) = 0
x = 0 or x = 8/3
I don't understand how you got your answers.
Respond to this Question
Similar Questions

MathCalculus
Let y = f(x) be the continuous function that satisfies the equation x^4  (5x^2)(y^2) + 4y^4 = 0 and whose graph contains the points (2,1) and (2,2). Let L be the line tangent to the graph of f at x = 2. (a) Find and expression for … 
Calculus
Find the xcoordinates of all points on the graph of y=x^3  4x^2 + 5x at which the tangent line is horizontal. 
Calculus
Find all points on the graph of f(x)=xe^x at which the tangent line is parallel to the line y3x=4. i figured out that f'(x)=3 but i don't know what to do with that. 
Calculus
Find all points on the graph of f(x)=xe^x at which the tangent line is parallel to the line y3x=4. i figured out that f'(x)=3 but i don't know what to do with that. 
Calculus
Consider the curve y^2+xy+x^2=15. What is dy/dx? 
calculus
find all points at which the tangent line to the graph of y=x3 is parallel to the line y=27x+5 
calculous
3.Given the function f defined by f(x)=2x^33x^212x+20 a.Find the zeros of f b.Write an equation of the line perpendicular to the graph of f at x = 0 c. Find the x and y coordinates of all points on the graph of f where the line tangent … 
Calculus grade 12
find the coordinates of all points on the graph of f(x) = x + 2cos(x) in the interval [0, pie] at which the tangent line is horizontal. 
Calculus grade 12
find the coordinates of all points on the graph of f(x) = x + 2cos(x) in the interval [0, pie] at which the tangent line is horizontal. 
Calculus
Given the function y=(x^25/x+3), answer the following questions. a) Find dy/dx. Simplify your answer b) Find the coordinates of any points on the graph of y where the tangent line is horizontal. Show your work. c) Are there any points …