2. f is a differentiable function on the interval [0, 1] and g(x) = f(3x). the table below gives values of f '(x). what is the value of g '(0.1)? (4 points)
x 0.1 0.2 0.3 0.4 0.5
f '(x) 1 2 3 -4 5

a 1
b 3
c 9
d cannot be determined

Option C.

Step-by-step explanation:

It is given that f is a differential function on the interval [0, 1].

Differentiate with respect to x.

We need to find the value of f'(0.1).

Substitute x=0.1 in the above equation.

From the given table it is clear that f'(0.3)=3.

The value of g'(0.1) is 9.

Therefore, the correct option is C.

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify