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

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

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

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

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derivative of

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

4 x^{3} - 4 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (4) = 0

= 4 x^{3} - 4 x + 0

Simplify

= 4 x^{3} - 4 x

\frac{\partial}{\partial x} (\frac{5 x - 9 y}{5 x + 9 y})

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\int - 32 t + 18 d t

\int_{0}^{3} \frac{1}{x x} d x

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