mirelapandovski mirelapandovski
  • 10-10-2017
  • Mathematics
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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

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Yna9141
Yna9141 Yna9141
  • 23-10-2017
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. 
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