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# math help: functions and derivatives?

f ' (x) = 5x^4

what is f(x) if f(3) = 197

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- Iggy RockoLv 73 weeks ago
f '(x) = 5x^4

f(x) = x^5 + c

197 = 3^5 + c

197 = 243 + c

c = -46

f(x) = x^5 - 46

- rotchmLv 73 weeks ago
What function is such that its derivative is 5x^4?

Try a few potential candidates. You will find it.

Once found, you know that adding a constant won't change its derivative.

Answer the above & we will take it from there if need be.

Hint: Whats the derivative of x? Of x² ? Of x^3 ? Of xⁿ ?

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