Question

The gradient of the curve

Answer 1

Answer:

Coordinate of P is (-2, -3)

Step-by-step explanation:

Gradient is the derivative of the curve:

$y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11$

but dy/dx is -1 :

$6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2$

substitute for x :

$y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3$