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

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

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

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

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derivative of

5 x + 4

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d ^{2}}{d x ^{2}} (x^{2} + 81)

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

\int \frac{1}{e ^{k x}} d x

y^{^{''}} + y = 0, y (0) = 0, y (π) = 0

y = 2 x + 1 (4.3)

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