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

The derivative of 4-sqrt(x) is -1/(2sqrt(x))

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

The first derivative of 4-sqrt(x) is -1/(2sqrt(x))

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

- \frac{1}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4) = 0

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

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

Simplify

= - \frac{1}{2 x}

\int \frac{sinh ( x )}{1 + cosh ( x )} d x

\frac{d y}{d x} = \frac{2 y}{x ^{2} - 1}

x sin^{2} (x)

3 x^{2} e^{x} + e^{x} x^{3}

x \to 0 lim (4 x^{2} - 2 x - 6)

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