What is the derivative of sqrt(4x+5) ?

The derivative of sqrt(4x+5) is 2/(sqrt(4x+5))

What is the first derivative of sqrt(4x+5) ?

The first derivative of sqrt(4x+5) is 2/(sqrt(4x+5))

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\frac{d}{d x} (4 x + 5)

\frac{2}{4 x + 5}

Solution steps

\frac{d}{d x} (4 x + 5)

Apply the chain rule:

\frac{1}{2 4 x + 5} \frac{d}{d x} (4 x + 5)

= \frac{1}{2 4 x + 5} \frac{d}{d x} (4 x + 5)

\frac{d}{d x} (4 x + 5) = 4

= \frac{1}{2 4 x + 5} \cdot 4

Simplify

\frac{1}{2 4 x + 5} \cdot 4 : \frac{2}{4 x + 5}

= \frac{2}{4 x + 5}

\int sin^{3} (4 x) cos^{- 2} (4 x) d x

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

(- 2, - 9), (0, - 3)

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

y^{^{'}} = \frac{3 x ^{2} - 1}{3 + 2 y}

What is the derivative of sqrt(4x+5) ?
The derivative of sqrt(4x+5) is 2/(sqrt(4x+5))
What is the first derivative of sqrt(4x+5) ?
The first derivative of sqrt(4x+5) is 2/(sqrt(4x+5))