f(x) = 2x^2 x<2

4x x≥2

1. Find the slope of the tangent curve of 2x^2 at x=2.
a. -1/2
b. 1/2
c. 4
d. 8
e. Does not exist

2. Find the slope of the tangent curve of 4x at x=2.
a. -1/2
b. 1/2
c. 4
d. 8
e. Does not exist

3. Find the slope of the tangent curve of f(x) at x=2.
a. -1/2
b. 1/2
c. 4
d. 8
e. Does not exist

My guess is D, C, E.

why guess? Do the math.

Looks like you knew what was going on. All three are correct.