What is the derivative of 2*sqrt(x) ?

The derivative of 2*sqrt(x) is 1/(sqrt(x))

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

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

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derivative of

2 \cdot x

\frac{1}{x}

Solution steps

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

Take the constant out:

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

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

Apply radical rule:

a = a^{\frac{1}{2}}

= 2 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Simplify

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

= \frac{1}{x}

x \to 8 lim (7 (8 x + 5)^{3})

\int_{1}^{3} 3 d x

\int_{0}^{e} \frac{1}{x} d x

\int_{0}^{\frac{π}{3}} sin (2 x) d x

\frac{d}{d x} (ln (\frac{e ^{x} - 1}{e ^{x + 1}}))

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