math help: functions and derivatives?

f ' (x) = 5x^4

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

3 Answers

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  • 3 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

  • 3 weeks ago

    help me solve it pls

  • rotchm
    Lv 7
    3 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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