What is the derivative of 2-sqrt(x) ?

The derivative of 2-sqrt(x) is -1/(2sqrt(x))

What is the first derivative of 2-sqrt(x) ?

The first derivative of 2-sqrt(x) is -1/(2sqrt(x))

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

- \frac{1}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2) - \frac{d}{d x} (x)

\frac{d}{d x} (2) = 0

\frac{d}{d x} (x) = \frac{1}{2 x}

= 0 - \frac{1}{2 x}

Simplify

= - \frac{1}{2 x}

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

\frac{s}{( s ^{2} + 16 ) ( s ^{2} + 9 )}

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = 3, y^{^{'}} (0) = 4

\frac{d}{d x} (x - ln (8 x))

(7 x + 4)^{2}

What is the derivative of 2-sqrt(x) ?
The derivative of 2-sqrt(x) is -1/(2sqrt(x))
What is the first derivative of 2-sqrt(x) ?
The first derivative of 2-sqrt(x) is -1/(2sqrt(x))