Given y=x^3-x^2+6x-1, use diffferentiation to find the gradient of the normal at (1,5).

dy/dx = 3x^2-2x+6

At (1,5), dy/dx = 7. 7 is the gradient of the tangent, therefore the gradient of the normal at (1,5) is -1/7.

KR

Related Further Mathematics GCSE answers

All answers ▸

find the stationary point of the curve for the equation y=x^2 + 3x + 4


Find any stationary points in the function f(x) = 3x^2 + 2x


The equation 3x^2 – 5x + 4 = 0 has roots P and Q, find a quadratic equation with the roots (P + 1/2Q) and (Q + 1/2P)


How do I find the limit as x-->infinity of (4x^2+5)/(x^2-6)?