What is the derivative of x^4-2x^4 ?

The derivative of x^4-2x^4 is -4x^3

What is the first derivative of x^4-2x^4 ?

The first derivative of x^4-2x^4 is -4x^3

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derivative of

x^{4} - 2 x^{4}

- 4 x^{3}

Solution steps

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

Simplify

x^{4} - 2 x^{4} : - x^{4}

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

Take the constant out:

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

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

Apply the Power Rule:

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

= - 4 x^{4 - 1}

Simplify

= - 4 x^{3}

What is the derivative of x^4-2x^4 ?
The derivative of x^4-2x^4 is -4x^3
What is the first derivative of x^4-2x^4 ?
The first derivative of x^4-2x^4 is -4x^3