What is the derivative of sqrt(6)x+sqrt(7x) ?

The derivative of sqrt(6)x+sqrt(7x) is sqrt(6)+(sqrt(7))/(2sqrt(x))

What is the first derivative of sqrt(6)x+sqrt(7x) ?

The first derivative of sqrt(6)x+sqrt(7x) is sqrt(6)+(sqrt(7))/(2sqrt(x))

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\frac{d}{d x} (6 x + 7 x)

6 + \frac{7}{2 x}

Solution steps

\frac{d}{d x} (6 x + 7 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x) + \frac{d}{d x} (7 x)

\frac{d}{d x} (6 x) = 6

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

= 6 + \frac{7}{2 x}

\frac{\partial}{\partial x} (- 2 x^{2} + y^{2})

\frac{d}{d x} (x^{- \frac{4}{3}})

y^{^{'}} + k y = e^{- 7 k x}

\frac{1}{64 + 5 t ^{2}}

\int \frac{1}{x ^{2} + 9} d x

What is the derivative of sqrt(6)x+sqrt(7x) ?
The derivative of sqrt(6)x+sqrt(7x) is sqrt(6)+(sqrt(7))/(2sqrt(x))
What is the first derivative of sqrt(6)x+sqrt(7x) ?
The first derivative of sqrt(6)x+sqrt(7x) is sqrt(6)+(sqrt(7))/(2sqrt(x))