Calculus:Differentiate problem please helpppppp
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Calculus:Differentiate problem please helpppppp

[From: ] [author: ] [Date: 11-10-22] [Hit: ]
so just plug in x = e^4 to get f (e^4).The derivative of a function is still a function.......
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!

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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.

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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.
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