What is the derivative of sqrt(5x+11) ?

The derivative of sqrt(5x+11) is 5/(2sqrt(5x+11))

What is the first derivative of sqrt(5x+11) ?

The first derivative of sqrt(5x+11) is 5/(2sqrt(5x+11))

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\frac{d}{d x} (5 x + 11)

\frac{5}{2 5 x + 11}

Solution steps

\frac{d}{d x} (5 x + 11)

Apply the chain rule:

\frac{1}{2 5 x + 11} \frac{d}{d x} (5 x + 11)

= \frac{1}{2 5 x + 11} \frac{d}{d x} (5 x + 11)

\frac{d}{d x} (5 x + 11) = 5

= \frac{1}{2 5 x + 11} \cdot 5

Simplify

\frac{1}{2 5 x + 11} \cdot 5 : \frac{5}{2 5 x + 11}

= \frac{5}{2 5 x + 11}

\int \frac{2 x ^{2}}{1 - 6 x ^{3}} d x

\int \frac{1}{x ln ^{3} ( x )} d x

\frac{\partial}{\partial x} (tan (3 x - 5 y))

\frac{\partial}{\partial x} (y^{2} - 1)

n = 0 \sum \infty (\frac{7}{18})^{n}

What is the derivative of sqrt(5x+11) ?
The derivative of sqrt(5x+11) is 5/(2sqrt(5x+11))
What is the first derivative of sqrt(5x+11) ?
The first derivative of sqrt(5x+11) is 5/(2sqrt(5x+11))