Asked by Paul
If
f(x)=e^(x+5lnx)
find f'(4), correct to two decimal places.
f(x)=e^(x+5lnx)
find f'(4), correct to two decimal places.
Answers
Answered by
drwls
First calculate the derivative f'(x). Then substitute 4 for x.
f'(x) = e^(x+5lnx) * (1 + 5/x)
That was obtained using the "chain rule", which you should learn.
df/dx = df/du*du/dx
In this case, I let u = x + 5lnx
f'(x) = e^(x+5lnx) * (1 + 5/x)
That was obtained using the "chain rule", which you should learn.
df/dx = df/du*du/dx
In this case, I let u = x + 5lnx
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