What is the derivative of sqrt(5x+9) ?

The derivative of sqrt(5x+9) is 5/(2sqrt(5x+9))

What is the first derivative of sqrt(5x+9) ?

The first derivative of sqrt(5x+9) is 5/(2sqrt(5x+9))

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\frac{d}{d x} (5 x + 9)

\frac{5}{2 5 x + 9}

Solution steps

\frac{d}{d x} (5 x + 9)

Apply the chain rule:

\frac{1}{2 5 x + 9} \frac{d}{d x} (5 x + 9)

= \frac{1}{2 5 x + 9} \frac{d}{d x} (5 x + 9)

\frac{d}{d x} (5 x + 9) = 5

= \frac{1}{2 5 x + 9} \cdot 5

Simplify

\frac{1}{2 5 x + 9} \cdot 5 : \frac{5}{2 5 x + 9}

= \frac{5}{2 5 x + 9}

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

\int x^{2} 2 - x^{3} d x

cos (x), at \frac{π}{2}

What is the derivative of sqrt(5x+9) ?
The derivative of sqrt(5x+9) is 5/(2sqrt(5x+9))
What is the first derivative of sqrt(5x+9) ?
The first derivative of sqrt(5x+9) is 5/(2sqrt(5x+9))