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

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

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

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

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derivative of

8 + 5 x

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

y = x^{2} + 4, (- 5, 29)

y^{^{'}} + 36 y cot (6 x) = 42 cos (6 x)

\frac{( x ^{2} )}{1 + x}

\int 6 x (4 + x^{2})^{\frac{1}{2}} d x

\frac{d y}{d x}, 4 x^{2} + 5 x y - y^{2} = 2

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