What is the derivative of sqrt(5)x+sqrt(7x) ?

The derivative of sqrt(5)x+sqrt(7x) is sqrt(5)+(sqrt(7))/(2sqrt(x))

What is the first derivative of sqrt(5)x+sqrt(7x) ?

The first derivative of sqrt(5)x+sqrt(7x) is sqrt(5)+(sqrt(7))/(2sqrt(x))

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derivative of

5 x + 7 x

5 + \frac{7}{2 x}

Solution steps

\frac{d}{d x} (5 x + 7 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) + \frac{d}{d x} (7 x)

\frac{d}{d x} (5 x) = 5

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

= 5 + \frac{7}{2 x}

\frac{d}{d x} (x^{2} (x^{2} - 4))

\frac{d}{d x} (\frac{3}{5} x^{\frac{5}{3}})

1 + x

\frac{d}{d x} (\frac{e ^{x} + 1}{e ^{x} + 2})

What is the derivative of sqrt(5)x+sqrt(7x) ?
The derivative of sqrt(5)x+sqrt(7x) is sqrt(5)+(sqrt(7))/(2sqrt(x))
What is the first derivative of sqrt(5)x+sqrt(7x) ?
The first derivative of sqrt(5)x+sqrt(7x) is sqrt(5)+(sqrt(7))/(2sqrt(x))