What is the derivative of f(x)=7e^x+4/(\sqrt[3]{x)} ?

The derivative of f(x)=7e^x+4/(\sqrt[3]{x)} is 7e^x-4/(3x^{4/3)}

What is the first derivative of f(x)=7e^x+4/(\sqrt[3]{x)} ?

The first derivative of f(x)=7e^x+4/(\sqrt[3]{x)} is 7e^x-4/(3x^{4/3)}

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derivative of

f (x) = 7 e^{x} + \frac{4}{3 x}

7 e^{x} - \frac{4}{3 x ^{\frac{4}{3}}}

Solution steps

\frac{d}{d x} (7 e^{x} + \frac{4}{3 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 e^{x}) + \frac{d}{d x} (\frac{4}{3 x})

\frac{d}{d x} (7 e^{x}) = 7 e^{x}

\frac{d}{d x} (\frac{4}{3 x}) = - \frac{4}{3 x ^{\frac{4}{3}}}

= 7 e^{x} - \frac{4}{3 x ^{\frac{4}{3}}}

\frac{d}{d x} (3 x - sin (x))

\int \frac{1}{7 - 7 x} d x

\int \frac{x ^{2} + x + 2}{x ^{4} + 5 x ^{2} + 4} d x

\int 6 x^{5} - 8 x^{4} - 9 x^{2} d x

y^{^{'}} = 2 t e^{7 y}

What is the derivative of f(x)=7e^x+4/(\sqrt[3]{x)} ?
The derivative of f(x)=7e^x+4/(\sqrt[3]{x)} is 7e^x-4/(3x^{4/3)}
What is the first derivative of f(x)=7e^x+4/(\sqrt[3]{x)} ?
The first derivative of f(x)=7e^x+4/(\sqrt[3]{x)} is 7e^x-4/(3x^{4/3)}