For given function the correct solution is g'(t) = 20 for some t in the interval.
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
For a given function, y = F(x), if the value of y is increasing on increasing the value of x, then the function is known as an increasing function and if the value of y is decreasing on increasing the value of x, then the function is known as a decreasing function.
Given that g(10)= 220
g(0)= 20
So putting values in condition of differentiation for increasing function we get:
[tex]\frac{g(10)-g(0)}{10-0}[/tex]
= [tex]\frac{220-20}{10}[/tex]
=20
Hence as we can see that the correct solution for given function is g'(t) = 20 .
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