What is the derivative of 2sqrt(x-5) ?

The derivative of 2sqrt(x-5) is 1/(sqrt(x-5))

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

The first derivative of 2sqrt(x-5) is 1/(sqrt(x-5))

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

\frac{1}{x - 5}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{x - 5}

\frac{\partial}{\partial x} (1 + arctan (x))

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\int_{0}^{\frac{π}{2}} 6 sec^{4} (\frac{t}{2}) d t

What is the derivative of 2sqrt(x-5) ?
The derivative of 2sqrt(x-5) is 1/(sqrt(x-5))
What is the first derivative of 2sqrt(x-5) ?
The first derivative of 2sqrt(x-5) is 1/(sqrt(x-5))