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Mrrafil [7]
3 years ago
9

1. Consider f(x) = 3x - 5

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

Answer:

3

Step-by-step explanation:

Here we have the function

f(x)=3x-5

We want to find the following ratio:

\frac{f(x+h)-f(x)}{h}

Note that the limit of this for h\rightarrow 0 is equivalent to the derivative of the function.

Here we have:

f(x+h)=3(x+h)-5=3x+3h-5

And

f(x)=3x-5

Therefore we have

f(x+h)-f(x)=3x+3h-5-(3x-5)=3h

And therefore,

\frac{f(x+h)-f(x)}{h}=\frac{3h}{h}=3

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