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

The derivative of (3x)^2 is 18x

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

The first derivative of (3x)^2 is 18x

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derivative of

(3 x)^{2}

18 x

Solution steps

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

Simplify

(3 x)^{2} : 9 x^{2}

= \frac{d}{d x} (9 x^{2})

Take the constant out:

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

= 9 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 9 \cdot 2 x^{2 - 1}

Simplify

= 18 x

\frac{( 3 x ^{2} - 1 )}{( x + 1 ) ^{3}}

sin^{2} (2 x + 5)

y = \frac{( x ^{2} - 2 x )}{( x + 1 )}

\frac{d}{d t} (10 + 5 t + 2 t^{2})

\frac{d}{d n} ((1 - i)^{n - 1})