1. ## tangent curve...parallel equation

Hey guys, I'm not really sure how I should approach this.. but I'm guessing this is very easy.

Problem: Find the points on the curve y = 2x^3-3x^2-12x+20 where the tangent is parallel to the x-axis.

2. Originally Posted by kdl00
Hey guys, I'm not really sure how I should approach this.. but I'm guessing this is very easy.

Problem: Find the points on the curve y = 2x^3-3x^2-12x+20 where the tangent is parallel to the x-axis.

If two lines are parallel then thier slopes are equal.
the slope of the x-axis is 0.
So, take the derivative of the equation of the curve and set it equal to 0.
and solve this equation for x.

3. Originally Posted by kdl00
Hey guys, I'm not really sure how I should approach this.. but I'm guessing this is very easy.

Problem: Find the points on the curve y = 2x^3-3x^2-12x+20 where the tangent is parallel to the x-axis.

Tangent to the x axis implies that $\displaystyle y'=0$. So, find $\displaystyle y'$, set is to 0 and solve.

4. Originally Posted by General
If two lines are parallel then thier slopes are equal.
the slope of the x-axis is 0.
So, take the derivative of the equation of the curve and set it equal to 0.
and solve this equation for x.
oh ok thank you. it was simple after all.