How would i find the tangent to the quadratic 2x^2 -12x + 14 at the point (1,4)? Do we take the derivative of the equation? Thanks
yes, that's right, you need to differentiate it.
let
when
so the point (1,4) does lie on the curve.
so the gradient of the curve at (1,4) is -8.
you could also find the equation of the tangent line that touches the curve at (1,4) but i don't think that's what you need to do.