What is the derivative of f(x)=-4sqrt(x) ?

The derivative of f(x)=-4sqrt(x) is -2/(sqrt(x))

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

The first derivative of f(x)=-4sqrt(x) is -2/(sqrt(x))

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derivative of

f (x) = - 4 x

- \frac{2}{x}

Solution steps

\frac{d}{d x} (- 4 x)

Take the constant out:

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

= - 4 \frac{d}{d x} (x)

Apply radical rule:

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

= - 4 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= - 4 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

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

= - \frac{2}{x}

y^{^{''}} - 5 y^{^{'}} + 6 y = cos (t) e^{- t}

\int 10 x cos (9 x) d x

x \to 0 + lim (\frac{- 8}{3 x ^{\frac{1}{7}}})

n = 1 \sum \infty \frac{4}{n ^{6}}

y = lo g_{10} (2 x - 1)

What is the derivative of f(x)=-4sqrt(x) ?
The derivative of f(x)=-4sqrt(x) is -2/(sqrt(x))
What is the first derivative of f(x)=-4sqrt(x) ?
The first derivative of f(x)=-4sqrt(x) is -2/(sqrt(x))