What is the derivative of ((2x)^3)/5 ?

The derivative of ((2x)^3)/5 is (24x^2)/5

What is the first derivative of ((2x)^3)/5 ?

The first derivative of ((2x)^3)/5 is (24x^2)/5

Popular >

derivative of

\frac{( 2 x ) ^{3}}{5}

\frac{24 x ^{2}}{5}

Solution steps

\frac{d}{d x} (\frac{( 2 x ) ^{3}}{5})

Take the constant out:

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

= \frac{1}{5} \frac{d}{d x} ((2 x)^{3})

Apply the chain rule:

3 (2 x)^{2} \frac{d}{d x} (2 x)

= 3 (2 x)^{2} \frac{d}{d x} (2 x)

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

= \frac{1}{5} \cdot 3 (2 x)^{2} \cdot 2

Simplify

\frac{1}{5} \cdot 3 (2 x)^{2} \cdot 2 : \frac{24 x ^{2}}{5}

= \frac{24 x ^{2}}{5}

\frac{d y}{d x} (y + 4) = 2 x y + 4 y

(x y^{^{'}} - y) cos (\frac{y}{x}) + x = 0

\frac{d}{d x} (cos (\frac{x ^{3}}{10}))

\frac{d y}{d x} = \frac{( x - 3 ) ^{2}}{x}

x \cdot \frac{d y}{d x} = \frac{1}{y ^{2}} + y

What is the derivative of ((2x)^3)/5 ?
The derivative of ((2x)^3)/5 is (24x^2)/5
What is the first derivative of ((2x)^3)/5 ?
The first derivative of ((2x)^3)/5 is (24x^2)/5