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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

t^{2} sin (t)

\frac{\partial}{\partial x} (x^{2} + y^{2} + 4 z^{2})

\frac{1 + 5 t}{ln ( t ^{2} )}

\int \frac{x ^{2}}{x ^{6} - 1} d x

\int_{1}^{10} 5 x^{- 2} d x

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