What is the derivative of 2+x^4 ?

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

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

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

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

4 x^{3}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2) = 0

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

= 0 + 4 x^{3}

Simplify

= 4 x^{3}

\frac{d}{d x} (- 7 x^{9})

\frac{1}{7 s ^{2} + 37.4 s + 19990}

\frac{d}{d x} ((- 3 + x^{2})^{- 1})

\frac{( 1 + e ^{- 2 s} ) ^{2}}{s + 2}

\frac{d}{d x} (sin (x^{2} + 3))