What is the derivative of 5sqrt(x)+6 ?

The derivative of 5sqrt(x)+6 is 5/(2sqrt(x))

What is the first derivative of 5sqrt(x)+6 ?

The first derivative of 5sqrt(x)+6 is 5/(2sqrt(x))

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\frac{d}{d x} (5 x + 6)

\frac{5}{2 x}

Solution steps

\frac{d}{d x} (5 x + 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) + \frac{d}{d x} (6)

\frac{d}{d x} (5 x) = \frac{5}{2 x}

\frac{d}{d x} (6) = 0

= \frac{5}{2 x} + 0

Simplify

= \frac{5}{2 x}

\int 7 csc^{2} (x) d x

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(x + 1) (x - 2) y^{^{'}} + y = 0

\frac{d y}{d x} - \frac{1}{x} y = x y^{2}

\int (3 - 2 x)^{10} d x

What is the derivative of 5sqrt(x)+6 ?
The derivative of 5sqrt(x)+6 is 5/(2sqrt(x))
What is the first derivative of 5sqrt(x)+6 ?
The first derivative of 5sqrt(x)+6 is 5/(2sqrt(x))