What is the derivative of 1/(2sqrt(x)+1/(7x^{6/7)}) ?

The derivative of 1/(2sqrt(x)+1/(7x^{6/7)}) is -1/(4x^{3/2)}-6/(49x^{13/7)}

What is the first derivative of 1/(2sqrt(x)+1/(7x^{6/7)}) ?

The first derivative of 1/(2sqrt(x)+1/(7x^{6/7)}) is -1/(4x^{3/2)}-6/(49x^{13/7)}

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\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{7 x ^{\frac{6}{7}}})

- \frac{1}{4 x ^{\frac{3}{2}}} - \frac{6}{49 x ^{\frac{13}{7}}}

Solution steps

\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{7 x ^{\frac{6}{7}}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{2 x}) + \frac{d}{d x} (\frac{1}{7 x ^{\frac{6}{7}}})

\frac{d}{d x} (\frac{1}{2 x}) = - \frac{1}{4 x ^{\frac{3}{2}}}

\frac{d}{d x} (\frac{1}{7 x ^{\frac{6}{7}}}) = - \frac{6}{49 x ^{\frac{13}{7}}}

= - \frac{1}{4 x ^{\frac{3}{2}}} - \frac{6}{49 x ^{\frac{13}{7}}}

\frac{\partial}{\partial x} (ln (4 y e^{x y}))

x \to 3 + lim (\frac{x - 3}{x ^{2} - 9})

\frac{d}{d x} (4 x^{3} - 5 x^{2} + 3 x - 5)

4 e x cos (x)

\frac{d}{d x} (arctan (2 x - 1))

What is the derivative of 1/(2sqrt(x)+1/(7x^{6/7)}) ?
The derivative of 1/(2sqrt(x)+1/(7x^{6/7)}) is -1/(4x^{3/2)}-6/(49x^{13/7)}
What is the first derivative of 1/(2sqrt(x)+1/(7x^{6/7)}) ?
The first derivative of 1/(2sqrt(x)+1/(7x^{6/7)}) is -1/(4x^{3/2)}-6/(49x^{13/7)}