What is the derivative of x^4-6x^2+4 ?

The derivative of x^4-6x^2+4 is 4x^3-12x

What is the first derivative of x^4-6x^2+4 ?

The first derivative of x^4-6x^2+4 is 4x^3-12x

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\frac{d}{d x} (x^{4} - 6 x^{2} + 4)

4 x^{3} - 12 x

Solution steps

\frac{d}{d x} (x^{4} - 6 x^{2} + 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (4)

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

\frac{d}{d x} (6 x^{2}) = 12 x

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

= 4 x^{3} - 12 x + 0

Simplify

= 4 x^{3} - 12 x

x e^{\frac{1}{x}}

\frac{d}{d x} (1 + 4 x^{\frac{3}{2}})

\int \frac{d ^{2} w}{2} d x

f (t) = ln (t + 1)

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

What is the derivative of x^4-6x^2+4 ?
The derivative of x^4-6x^2+4 is 4x^3-12x
What is the first derivative of x^4-6x^2+4 ?
The first derivative of x^4-6x^2+4 is 4x^3-12x