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

`(dy)/(dx)=2x`

The given point is (3,9)

Substitute x=3 in the derivative, we get

`(dy)/(dx)=2**3=6`

Hence the slope is 3.

12.

Given:

`y=x^2+4`

Differentiate with respect to x, we get

`(dy)/(dx)=2x+0`

The given point is (0,4)

Substitute x=0 in the derivative, we get

`(dy)/(dx)=2(0)+0=0`

Hence the slope is 0.