Find derivitative of f(x)=3x^5 ln(x) AND find f ' (e^4)
I found the f '(x)= 3(x^4+(5x^4)log(x))... this is correct, but i don't get f ' (e^4)
Can someone please help me with f ' (e^4) of f(x)=3x^5 ln(x)
Thank you!
I found the f '(x)= 3(x^4+(5x^4)log(x))... this is correct, but i don't get f ' (e^4)
Can someone please help me with f ' (e^4) of f(x)=3x^5 ln(x)
Thank you!
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derivative is:
15x^4ln(x)+3x^5*(1/x)
(15x^4)(ln(x))+3x^4.
f'(e^4)
(15(e^4)^4)(ln(e^4)+3(e^4)^4
ln(e^4)=4
(15(e^16))(4)+3e^16
60e^16+3e^16
63e^16 is the answer.
15x^4ln(x)+3x^5*(1/x)
(15x^4)(ln(x))+3x^4.
f'(e^4)
(15(e^4)^4)(ln(e^4)+3(e^4)^4
ln(e^4)=4
(15(e^16))(4)+3e^16
60e^16+3e^16
63e^16 is the answer.
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You have f '(x) = 3(x^4+(5x^4)log(x)), so just plug in x = e^4 to get f '(e^4).
The derivative of a function is still a function.
The derivative of a function is still a function.