e to the x and square root problem

Jason76

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Post Edited

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{x^{1/3}}\)

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\) :confused:
 
Last edited:
\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)

\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{x^{1/3}}\)

\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\) :confused:
What is your question? And why did the denominator change between the second and third lines above?

Please be complete. Thank you! ;)
 
f'(x) = \(\displaystyle 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)

f'(x) = \(\displaystyle 2e^{x} + \dfrac{8}{x^{1/3}}\)

f'(x) = \(\displaystyle 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\) :confused:

Is that correct?
 
Post Edited

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)

f'(x) = \(\displaystyle 2e^{x} + \dfrac{8}{x^{1/3}}\)................. why is that f'(x)?

\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\)

Cannot do that!!! :confused:

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)

\(\displaystyle f(x) = 2e^{x} + 8*{x}^{\frac{-1}{3}}\)

\(\displaystyle f'(x) = 2e^{x} + 8*\left [\dfrac{-1}{3}{x}^{(\frac{-1}{3}-1)}\right ]\)

\(\displaystyle f'(x) = 2e^{x} - \dfrac{8}{3}{x}^{-\frac{4}{3}}\)

These problems are very simple if you would just pay attention.....
 
Post Edited

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)

\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{x^{1/3}}\)
You have repeatedly written f'(x) when you have NOT YET differentiated! You need to pay more attention to what you are writing.
\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\) :confused:
 
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Notation problem fixed, and also original post edited.

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{x^{1/3}}\)

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\) :confused:
 
Notation problem fixed, and also original post edited.

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{x^{1/3}}\)

\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\) :confused:...................Incorrect ..... read my post above
.
 
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