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Popular >

derivative of-4sqrt(x)

Solution

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

Solution

- \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}

Popular Examples

integral of 2x(x^2+2)^6

\int 2 x (x^{2} + 2)^{6} d x

(\partial)/(\partial x)(3x^4y^2-2)

\frac{\partial}{\partial x} (3 x^{4} y^{2} - 2)

sum from n=1 to infinity of 1/((n)(n+8))

n = 1 \sum \infty \frac{1}{( n ) ( n + 8 )}

limit as x approaches 4 of y/(sqrt(x))

x \to 4 lim (\frac{y}{x})

integral of (9x+4)^2

\int (9 x + 4)^{2} d x

Frequently Asked Questions (FAQ)

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