What is the derivative of sqrt(x+13) ?

The derivative of sqrt(x+13) is 1/(2sqrt(x+13))

What is the first derivative of sqrt(x+13) ?

The first derivative of sqrt(x+13) is 1/(2sqrt(x+13))

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\frac{d}{d x} (x + 13)

\frac{1}{2 x + 13}

Solution steps

\frac{d}{d x} (x + 13)

Apply the chain rule:

\frac{1}{2 x + 13} \frac{d}{d x} (x + 13)

= \frac{1}{2 x + 13} \frac{d}{d x} (x + 13)

\frac{d}{d x} (x + 13) = 1

= \frac{1}{2 x + 13} \cdot 1

Simplify

= \frac{1}{2 x + 13}

x \to \infty lim (ln ∣ x ∣)

y^{^{''}} + 81 y = 0, y (0) = 4, y^{^{'}} (0) = 7

y = (e^{2 x} - 2)^{2}, (0, 1)

\frac{d y}{d x}, \frac{y}{x} = 0

\frac{\partial}{\partial x} (sin (h) (x^{2} + y))

What is the derivative of sqrt(x+13) ?
The derivative of sqrt(x+13) is 1/(2sqrt(x+13))
What is the first derivative of sqrt(x+13) ?
The first derivative of sqrt(x+13) is 1/(2sqrt(x+13))