What is the derivative of x^3-3x-sqrt(x) ?

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

What is the first derivative of x^3-3x-sqrt(x) ?

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

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

3 x^{2} - 3 - \frac{1}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (3 x) = 3

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

= 3 x^{2} - 3 - \frac{1}{2 x}

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