What is the derivative of 4/(sqrt(x))-1 ?

The derivative of 4/(sqrt(x))-1 is -2/(x^{3/2)}

What is the first derivative of 4/(sqrt(x))-1 ?

The first derivative of 4/(sqrt(x))-1 is -2/(x^{3/2)}

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derivative of

\frac{4}{x} - 1

- \frac{2}{x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (\frac{4}{x} - 1)

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (1) = 0

= - \frac{2}{x ^{\frac{3}{2}}} - 0

Simplify

= - \frac{2}{x ^{\frac{3}{2}}}

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