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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\frac{d}{d x} (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}

X^{\frac{9}{6}}, 7

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

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

\frac{x}{x + 9}

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

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))