What is the derivative of (x^3-2xsqrt(x)/x) ?

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

What is the first derivative of (x^3-2xsqrt(x)/x) ?

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

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

2 x - \frac{1}{x}

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

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

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

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

(0, - 9), (7, 6)

f (x) = x (x^{2} - 4 x + 5)^{5}, at x = 2

x \cdot y^{^{'}} = 2 y + e^{x} \cdot x^{3}

x \to - \frac{1}{2} lim (\frac{7}{2 x + 1})

- x^{2} + 2 x, 3 x^{3} - x^{2} - 10 x

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