What is the derivative of y=5e^x+8/(\sqrt[3]{x)} ?

The derivative of y=5e^x+8/(\sqrt[3]{x)} is 5e^x-8/(3x^{4/3)}

What is the first derivative of y=5e^x+8/(\sqrt[3]{x)} ?

The first derivative of y=5e^x+8/(\sqrt[3]{x)} is 5e^x-8/(3x^{4/3)}

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derivative of

5 e^{x} - \frac{8}{3 x ^{\frac{4}{3}}}

Solution steps

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

\frac{d}{d x} (5 e^{x}) = 5 e^{x}

= 5 e^{x} - \frac{8}{3 x ^{\frac{4}{3}}}

\frac{d y}{d x} = 5 y x

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What is the derivative of y=5e^x+8/(\sqrt[3]{x)} ?
The derivative of y=5e^x+8/(\sqrt[3]{x)} is 5e^x-8/(3x^{4/3)}
What is the first derivative of y=5e^x+8/(\sqrt[3]{x)} ?
The first derivative of y=5e^x+8/(\sqrt[3]{x)} is 5e^x-8/(3x^{4/3)}