Question

Really need help with 11 and 12 just started learning this today and I don't quite understand it would really appreciate it

Answer 1

11.

Given:

$y=x^2$

Differentiate with respect to x, we get

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

The given point is (3,9)

Substitute x=3 in the derivative, we get

$\frac{dy}{dx}=2\times\times3=6$

Hence the slope is 3.

12.

Given:

$y=x^2+4$

Differentiate with respect to x, we get

$\frac{dy}{dx}=2x+0$

The given point is (0,4)

Substitute x=0 in the derivative, we get

$\frac{dy}{dx}=2(0)+0=0$

Hence the slope is 0.