What is the derivative of 4sqrt(2x) ?

The derivative of 4sqrt(2x) is (2sqrt(2))/(sqrt(x))

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

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

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\frac{d}{d x} (4 2 x)

\frac{2 2}{x}

Solution steps

\frac{d}{d x} (4 2 x)

Simplify

4 2 x : 42 x

= \frac{d}{d x} (42 x)

Take the constant out:

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

= 42 \frac{d}{d x} (x)

Apply radical rule:

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

= 42 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 42 \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

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

= \frac{2 2}{x}

f (x) = x^{2} (x + 1)

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

\int \frac{x}{x ^{2} + 2 x} d x

(\frac{t ^{3}}{t ^{8} + 1})^{2}

y^{^{''}} + 4 y = cos (t)

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