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

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

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

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

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

4 x^{3} - 4 x

Solution steps

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

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} (3)

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

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

\frac{d}{d x} (3) = 0

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

Simplify

= 4 x^{3} - 4 x

x^{3} - 2 x + 1

y = (x^{3} - 9 x)^{10}, (3, 0)

y = 3 x^{3} - 3 x, (- 4, 0)

\int_{0}^{3} (5 - \frac{5}{3} x)^{2} d x

(- 10.6) (- 5.8)

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