What is the derivative of (x^4+2x^2/(x^2)) ?

The derivative of (x^4+2x^2/(x^2)) is 2x

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

The first derivative of (x^4+2x^2/(x^2)) is 2x

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

2 x

Solution steps

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

Simplify

\frac{x ^{4} + 2 x ^{2}}{x ^{2}} : x^{2} + 2

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 x + 0

Simplify

= 2 x

3 t^{2} - 12

y = x^{2}, y = 4 x - x^{2}

\frac{\partial}{\partial y} ((x + y)^{e^{y^{2}}})

\int_{0}^{4} \frac{1}{x} d x

x \to \infty lim (3 x - 4)

What is the derivative of (x^4+2x^2/(x^2)) ?
The derivative of (x^4+2x^2/(x^2)) is 2x
What is the first derivative of (x^4+2x^2/(x^2)) ?
The first derivative of (x^4+2x^2/(x^2)) is 2x