The derivative function of f(x)=0.2x+3 is f'(x)=
0.2
The derivative function of f(x) = 0.2x + 3 is f'(x) = 0.2.
To find the derivative of the function, we use the power rule of differentiation, which states that the derivative of a variable raised to a constant power is equal to the derivative of the constant power multiplied by the derivative of the variable raised to that power.
In this case, the derivative of the constant 3 is zero, leaving us with the derivative of 0.2x, which is 0.2. Therefore, f'(x) = 0.2, indicating that the slope or rate of change of the function f(x) at any point is always equal to 0.2 (or 1/5).
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