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

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

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

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

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derivative of

\frac{- x ^{4}}{2}

- 2 x^{3}

Solution steps

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

Simplify

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

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

Take the constant out:

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

= - \frac{1}{2} \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= - \frac{1}{2} \cdot 4 x^{4 - 1}

Simplify

- \frac{1}{2} \cdot 4 x^{4 - 1} : - 2 x^{3}

= - 2 x^{3}

y = x y + 10 x + 10 y

x^{2} + 3 x + 5

x^{2} + 3 x + 7

f (x) = x^{14} cos (x)

4 cos (1 0^{6} t - y)

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