What is the derivative of sqrt(3)x+sqrt(7x) ?

The derivative of sqrt(3)x+sqrt(7x) is sqrt(3)+(sqrt(7))/(2sqrt(x))

What is the first derivative of sqrt(3)x+sqrt(7x) ?

The first derivative of sqrt(3)x+sqrt(7x) is sqrt(3)+(sqrt(7))/(2sqrt(x))

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\frac{d}{d x} (3 x + 7 x)

3 + \frac{7}{2 x}

Solution steps

\frac{d}{d x} (3 x + 7 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x) + \frac{d}{d x} (7 x)

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

\frac{d}{d x} (7 x) = \frac{7}{2 x}

= 3 + \frac{7}{2 x}

What is the derivative of sqrt(3)x+sqrt(7x) ?
The derivative of sqrt(3)x+sqrt(7x) is sqrt(3)+(sqrt(7))/(2sqrt(x))
What is the first derivative of sqrt(3)x+sqrt(7x) ?
The first derivative of sqrt(3)x+sqrt(7x) is sqrt(3)+(sqrt(7))/(2sqrt(x))