What is the derivative of (3x^4-6x^3) ?

The derivative of (3x^4-6x^3) is 3(3x^4-6x)^2(12x^3-6)

What is the first derivative of (3x^4-6x^3) ?

The first derivative of (3x^4-6x^3) is 3(3x^4-6x)^2(12x^3-6)

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\frac{d}{d x} ((3 x^{4} - 6 x)^{3})

3 (3 x^{4} - 6 x)^{2} (12 x^{3} - 6)

Solution steps

\frac{d}{d x} ((3 x^{4} - 6 x)^{3})

Apply the chain rule:

3 (3 x^{4} - 6 x)^{2} \frac{d}{d x} (3 x^{4} - 6 x)

= 3 (3 x^{4} - 6 x)^{2} \frac{d}{d x} (3 x^{4} - 6 x)

\frac{d}{d x} (3 x^{4} - 6 x) = 12 x^{3} - 6

= 3 (3 x^{4} - 6 x)^{2} (12 x^{3} - 6)

y = 4 e^{x} cos (x)

y = \frac{ln ( x )}{x}

\frac{\partial}{\partial x} (A \frac{x}{z})

\frac{d}{d x} (\frac{3 x - 4}{( 5 x + 2 ) ^{3}})

\int_{0}^{3} \frac{1}{36 - x ^{2}} d x

What is the derivative of (3x^4-6x^3) ?
The derivative of (3x^4-6x^3) is 3(3x^4-6x)^2(12x^3-6)
What is the first derivative of (3x^4-6x^3) ?
The first derivative of (3x^4-6x^3) is 3(3x^4-6x)^2(12x^3-6)