Thread: Equations of tangent and normal to a curve

I'm lost on the sequence of doing this

Find the tangent and normal to the curves at the points indicated
y=2x^2-4x+1 where the gradient is 4

Originally Posted by chibiusagi

I'm lost on the sequence of doing this

Find the tangent and normal to the curves at the points indicated
y=2x^2-4x+1 where the gradient is 4

ok, so we know that the gradient of the normal line is -1/4. so let's tuck that away to use it later.

we are concerned with the point where , find that point. when you have that point, you can find the two lines using the point-slope form:



where is the slope of the line (m is 4 for the tangent and -1/4 for the normal) and is a point where the line passes through, namely, the point i asked you to find. now continue