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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derivative of

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}

\int \frac{10}{x - 5} d x

f (x) = 2 x^{2} - 7 x + 5, at x = 3

\int_{0}^{t} cos (x^{2}) d x

\frac{\partial}{\partial x} (cos (4 θ))

\int \frac{sin ^{2} ( x )}{1 + cos ( x )} 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))