Question

Number 13 please thanks

Answer 1

Answer:

(3, - 9)

Step-by-step explanation:

Differentiate using the power rule

y = a$x^{n}$ , then

$\frac{dy}{dx}$ = na$x^{n-1}$

Given

y = x² - 6x

$\frac{dy}{dx}$ = 2x - 6

Equate to zero since the measure of gradient is $\frac{dy}{dx}$ , that is

2x - 6 = 0 ( add 6 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into y for corresponding value of y

y = 3² - 6(3) = 9 - 18 = - 9, thus

(3, - 9 ) are the coordinates of the point where the gradient is zero