SOLUTION: Find the coordinates of the points on the curve y = x^3 - 2x^2 - x + 5 where the tangents are parallel to the line y = 2x + 3. Find the equations of these tangents

Algebra ->  Coordinate-system -> SOLUTION: Find the coordinates of the points on the curve y = x^3 - 2x^2 - x + 5 where the tangents are parallel to the line y = 2x + 3. Find the equations of these tangents      Log On


   



Question 1121466: Find the coordinates of the points on the curve y = x^3 - 2x^2 - x + 5 where the tangents are parallel to the line y = 2x + 3. Find the equations of these tangents
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the given line is 2.

What will be the derivative of the curve? This value must also be 2 at any tangency point.

dy%2Fdx=3x%5E2-4x-1
Now, dy/dx is to be 2. What are the x values?
.
.
Can you continue from that?