What is the derivative of sqrt(3x-5) ?

The derivative of sqrt(3x-5) is 3/(2sqrt(3x-5))

What is the first derivative of sqrt(3x-5) ?

The first derivative of sqrt(3x-5) is 3/(2sqrt(3x-5))

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derivative of

3 x - 5

\frac{3}{2 3 x - 5}

Solution steps

\frac{d}{d x} (3 x - 5)

Apply the chain rule:

\frac{1}{2 3 x - 5} \frac{d}{d x} (3 x - 5)

= \frac{1}{2 3 x - 5} \frac{d}{d x} (3 x - 5)

\frac{d}{d x} (3 x - 5) = 3

= \frac{1}{2 3 x - 5} \cdot 3

Simplify

\frac{1}{2 3 x - 5} \cdot 3 : \frac{3}{2 3 x - 5}

= \frac{3}{2 3 x - 5}

\frac{5}{s ( 4 s ^{2} + 4 s + 1 )}

x \to 3 lim (- x 6 x - 8)

\int_{- \infty}^{1} 3^{x} d x

\frac{d}{d x} (3 π^{8})

f (x) = - 4 x^{\frac{1}{2}} - 10, at x = 9

What is the derivative of sqrt(3x-5) ?
The derivative of sqrt(3x-5) is 3/(2sqrt(3x-5))
What is the first derivative of sqrt(3x-5) ?
The first derivative of sqrt(3x-5) is 3/(2sqrt(3x-5))