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

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

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

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

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

- 4 (2 - x)^{3}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 - x) = - 1

= 4 (2 - x)^{3} (- 1)

Simplify

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

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