What is the derivative of 2(13-x^4) ?

The derivative of 2(13-x^4) is -8x^3

What is the first derivative of 2(13-x^4) ?

The first derivative of 2(13-x^4) is -8x^3

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\frac{d}{d x} (2 (13 - x^{4}))

- 8 x^{3}

Solution steps

\frac{d}{d x} (2 (13 - x^{4}))

Take the constant out:

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

= 2 \frac{d}{d x} (13 - x^{4})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 2 (\frac{d}{d x} (13) - \frac{d}{d x} (x^{4}))

\frac{d}{d x} (13) = 0

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

= 2 (0 - 4 x^{3})

Simplify

= - 8 x^{3}

\frac{d}{d x} (a csc^{2} (k x))

\frac{d}{d x} ((6 x + 5) (x^{3} - 2))

x^{3} - 2 x^{2} + 2, 3 x^{2} + 3 x - 13

\frac{d}{d x} (e^{e^{e^{e^{x}}}})

\int r^{2} d r

What is the derivative of 2(13-x^4) ?
The derivative of 2(13-x^4) is -8x^3
What is the first derivative of 2(13-x^4) ?
The first derivative of 2(13-x^4) is -8x^3