What is the derivative of f(x)=-8sqrt(x) ?

The derivative of f(x)=-8sqrt(x) is -4/(sqrt(x))

What is the first derivative of f(x)=-8sqrt(x) ?

The first derivative of f(x)=-8sqrt(x) is -4/(sqrt(x))

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derivative of

f (x) = - 8 x

- \frac{4}{x}

Solution steps

\frac{d}{d x} (- 8 x)

Take the constant out:

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

= - 8 \frac{d}{d x} (x)

Apply radical rule:

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

= - 8 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= - 8 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

- 8 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : - \frac{4}{x}

= - \frac{4}{x}

\frac{d}{d x} (\frac{arccos ( x )}{( x + 1 ) ^{2}})

\frac{d}{d x} (e^{g (x)} sin (x))

\int_{- \infty}^{12} x e^{\frac{x}{4}} d x

\frac{d y}{d x}, 3 x^{2} + 2 y^{2} = 30

\frac{\partial}{\partial x} (x^{3} + e^{y})

What is the derivative of f(x)=-8sqrt(x) ?
The derivative of f(x)=-8sqrt(x) is -4/(sqrt(x))
What is the first derivative of f(x)=-8sqrt(x) ?
The first derivative of f(x)=-8sqrt(x) is -4/(sqrt(x))