What is your question? And why did the denominator change between the second and third lines above?\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)
\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{x^{1/3}}\)
\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\)![]()
f'(x) = \(\displaystyle 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)
f'(x) = \(\displaystyle 2e^{x} + \dfrac{8}{x^{1/3}}\)
f'(x) = \(\displaystyle 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\)![]()
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!!!![]()
You have repeatedly written f'(x) when you have NOT YET differentiated! You need to pay more attention to what you are writing.Post Edited
\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)
\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{x^{1/3}}\)
\(\displaystyle f'(x) = 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\)![]()
.Notation problem fixed, and also original post edited.
\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{\sqrt[3]{x}}\)
\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{x^{1/3}}\)
\(\displaystyle f(x) = 2e^{x} + \dfrac{8}{1/3x^{-2/3}}\)...................Incorrect ..... read my post above