1. ## differentiation

Hi there, I have two problem that I just can't seem to figure out. They are as follows (1) Find the equation of the normal to $y= x^2-3x+2$ which have a gradient of ${\frac{1}{2}}$ and the second one(2) find the value of K for which $y=2x +k$ is a normal to $y= 2x^2-3$.

2. Originally Posted by scrible
Hi there, I have two problem that I just can't seem to figure out. They are as follows (1) Find the equation of the normal to $y= x^2-3x+2$ which have a gradient of ${\frac{1}{2}}$ and the second one(2) find the value of K for which $y=2x +k$ is a normal to $y= 2x^2-3$.
for (1) :

find the point on the curve with slope = -2, then find the equation of the line through that point with slope = 1/2

for (2) :

same strategy ... find the point on the curve with slope = -1/2 , then find the equation of the line through that point with slope = 2.

3. Originally Posted by skeeter
for (1) :

find the point on the curve with slope = -2, then find the equation of the line through that point with slope = 1/2

for (2) :

same strategy ... find the point on the curve with slope = -1/2 , then find the equation of the line through that point with slope = 2.
I am rushing off to work this morning but I just could not wait to see what the reply would be. thank you very much for your help and advise. I most certainly would try it.