What is the derivative of-3x^4 ?

The derivative of-3x^4 is -12x^3

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

The first derivative of-3x^4 is -12x^3

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derivative of

- 3 x^{4}

- 12 x^{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= - 3 \cdot 4 x^{4 - 1}

Simplify

= - 12 x^{3}

f (x) = \frac{e ^{x - 3}}{x - 2}

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