Question

If f'(2) = 3.1 and g'(2)=7.3 then the graph of f(x)+g(x) has slope 10.4 at x=2.True or false

Answer 1

For functions, its derivative on a certain variable is its slope. This means that the slope of f(2) is 3.1 and that of g(2) is equal to 7.3.

To determine the slope of the f(x) + g(x) in terms of x is equal to,
f'(x) + g'(x)
Then, substitute x with 2,
f'(2) + g'(2)
Substituting the known values,
3.1 + 7.3 = 10.4

Hence, the answer is TRUE.