What is the derivative of sqrt(5x+8) ?

The derivative of sqrt(5x+8) is 5/(2sqrt(5x+8))

What is the first derivative of sqrt(5x+8) ?

The first derivative of sqrt(5x+8) is 5/(2sqrt(5x+8))

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derivative of

5 x + 8

\frac{5}{2 5 x + 8}

Solution steps

\frac{d}{d x} (5 x + 8)

Apply the chain rule:

\frac{1}{2 5 x + 8} \frac{d}{d x} (5 x + 8)

= \frac{1}{2 5 x + 8} \frac{d}{d x} (5 x + 8)

\frac{d}{d x} (5 x + 8) = 5

= \frac{1}{2 5 x + 8} \cdot 5

Simplify

\frac{1}{2 5 x + 8} \cdot 5 : \frac{5}{2 5 x + 8}

= \frac{5}{2 5 x + 8}

y^{^{'}} = \frac{x}{1 + x ^{2}}

\int 64 sin^{3} (x) d x

\frac{d}{d x} (\frac{( x + 1 ) ^{3}}{x})

y^{^{'}} = y^{2} - (x y)^{2}

\int \frac{1}{3 x ( 2 + x )} d x

What is the derivative of sqrt(5x+8) ?
The derivative of sqrt(5x+8) is 5/(2sqrt(5x+8))
What is the first derivative of sqrt(5x+8) ?
The first derivative of sqrt(5x+8) is 5/(2sqrt(5x+8))