What is the derivative of x+6sqrt(x+3) ?

The derivative of x+6sqrt(x+3) is 1+3/(sqrt(x+3))

What is the first derivative of x+6sqrt(x+3) ?

The first derivative of x+6sqrt(x+3) is 1+3/(sqrt(x+3))

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\frac{d}{d x} (x + 6 x + 3)

1 + \frac{3}{x + 3}

Solution steps

\frac{d}{d x} (x + 6 x + 3)

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (6 x + 3)

\frac{d x}{d x} = 1

\frac{d}{d x} (6 x + 3) = \frac{3}{x + 3}

= 1 + \frac{3}{x + 3}

tan (x) + cos^{2} (x) + sin^{2} (x) - 3

\frac{d}{d x} ((x - 2)^{\frac{1}{2}})

\int e^{- 8 x} tan (e^{- 8 x}) d x

y^{^{'}} = 0.001 y (400 - y)

\int 25 sec^{- 2} (x t a) n^{3} x d x

What is the derivative of x+6sqrt(x+3) ?
The derivative of x+6sqrt(x+3) is 1+3/(sqrt(x+3))
What is the first derivative of x+6sqrt(x+3) ?
The first derivative of x+6sqrt(x+3) is 1+3/(sqrt(x+3))