What is the derivative of 4e^x+8/(\sqrt[3]{x}) ?

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

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

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

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4 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} (4 e^{x}) = 4 e^{x}

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

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