What is the derivative of sqrt(8x)-sqrt(3x) ?

The derivative of sqrt(8x)-sqrt(3x) is sqrt(2/x)-(sqrt(3))/(2sqrt(x))

What is the first derivative of sqrt(8x)-sqrt(3x) ?

The first derivative of sqrt(8x)-sqrt(3x) is sqrt(2/x)-(sqrt(3))/(2sqrt(x))

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\frac{d}{d x} (8 x - 3 x)

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

Solution steps

\frac{d}{d x} (8 x - 3 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x) - \frac{d}{d x} (3 x)

\frac{d}{d x} (8 x) = \frac{2}{x}

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

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

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\frac{d y}{d x}, x^{2} = y^{3}

What is the derivative of sqrt(8x)-sqrt(3x) ?
The derivative of sqrt(8x)-sqrt(3x) is sqrt(2/x)-(sqrt(3))/(2sqrt(x))
What is the first derivative of sqrt(8x)-sqrt(3x) ?
The first derivative of sqrt(8x)-sqrt(3x) is sqrt(2/x)-(sqrt(3))/(2sqrt(x))