Calculus1
11 Online
OpenStudy (anonymous):
prime question:
f(x)=2e^(x+2)+e^a
f`(x)=
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OpenStudy (anonymous):
mistake: e^a=> e^9
OpenStudy (anonymous):
f`(x)=2e^(x+2)
OpenStudy (stamp):
\[f(x)=2e^{x+2}+e^9\]\[f'(x)=2e^{x+2}\]
OpenStudy (anonymous):
how did you get this answer?
OpenStudy (stamp):
\[f(x)=2e^{x+2}+e^9\]
\[d(2e^{x+2})/dx=2\ d(e^{x+2})/dx\]
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OpenStudy (stamp):
u = x+2, du = 1 dx\[e^{x+2}=e^u=du/dx\ e^u=1e^{x+2}\]
OpenStudy (anonymous):
I entered the answer and it told me that it was wrong
OpenStudy (anonymous):
No i am sorry! f`(0)=
OpenStudy (anonymous):
no x!
OpenStudy (stamp):
So plug in 0
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OpenStudy (stamp):
You need to get your stuff together, dodo1
OpenStudy (anonymous):
into x?
OpenStudy (stamp):
f'(x) is a function. So yes, f'(0) would be f'(x) with 0 for x.
OpenStudy (anonymous):
so is 2?
OpenStudy (anonymous):
no its 2e^2?
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OpenStudy (stamp):
\[f'(x)=2e^{x+2}\]\[f'(0)=2e^{(0)+2}\]
OpenStudy (anonymous):
Thank you so much!
OpenStudy (anonymous):
how do you sqrt prime?
let say f(x)=sqrt(4x)
OpenStudy (anonymous):
the final answer is 4x1/2?
OpenStudy (stamp):
u = 4x
du/dx = 4
\[d(\sqrt {u})/du = \frac{1}{2\sqrt u}du/dx\]\[\frac{1}{2\sqrt {4x}}4=\frac{2}{\sqrt{4x}}=\frac{2}{2\sqrt x}=\frac{1}{\sqrt x}\]
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OpenStudy (anonymous):
Ok,the final answer is 1/sqrt(x)