1. ## Differentiation

Find the equation of the normals to the curve y=2x^2 - 7 when x=1 and x= -1. Calculate the coordinates of the point if intersection of these 2 normals.

8ve differentiated and got dy/dx= 4x

what to do after this?

do I sub x into the first equation or the gradient? How do I get the gradient after that then?

2. ## Re: Differentiation

If you are given a problem like this then you are expected to know that a line perpendicular to a curve has slope equal to negative one divided by the derivative at that point. Yes, evaluate the derivative at -1 and 1, then take the negative reciprocal to find the slopes of the two lines. Can you find the equation of a line given the slope and a point on the line?

3. ## Re: Differentiation

But is a normal perpendicular to the curve? i thought that was a tangent?

when x=1, y=2-7 = -5

dy/dx= 4

then?