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

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

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

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

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derivative of

- 2 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}

\int t^{2} - 2 cos (t) d t

\int (14 x + 6 x) d x

y^{^{'}} + y = y x e^{x + 2}

\int \frac{x}{3 x + 4} d x

x \to 3 lim (\frac{1}{( x - 3 ) ^{8}})

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