What happens to the function f(x)=x^4 when it becomes f'(x)=x^4+5

It will move up 5 spaces on the y-axis.

Step-by-step explanation: y=mx+b where b is the y-intercept (where it will be on the y-axis). In the 1st one it doesn’t have a b so there is no y-intercept so it will pass through point (0,0). In the 2nd one since your adding 5 it will now pass through point (0,5). Because it shifted up 5 on the y-axis.

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step-by-step explanation:

it would be 6xy and -16xy.