What is the derivative of z(3x)^4 ?

The derivative of z(3x)^4 is 81x^4

What is the first derivative of z(3x)^4 ?

The first derivative of z(3x)^4 is 81x^4

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derivative of

z (3 x)^{4}

81 x^{4}

Solution steps

\frac{d}{d z} (z (3 x)^{4})

Simplify

z (3 x)^{4} : 81 z x^{4}

= \frac{d}{d z} (81 z x^{4})

Treat

x

as a constant

Take the constant out:

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

= 81 x^{4} \frac{d z}{d z}

Apply the common derivative:

\frac{d z}{d z} = 1

= 81 x^{4} \cdot 1

Simplify

= 81 x^{4}

\frac{x}{10}

lo g_{10} (3 x + 2016)

\frac{d}{d t} (10 t)

\frac{d}{d a} (4 a)

sin^{3} (1 - 2 x)

What is the derivative of z(3x)^4 ?
The derivative of z(3x)^4 is 81x^4
What is the first derivative of z(3x)^4 ?
The first derivative of z(3x)^4 is 81x^4