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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derivative of

\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

\int e^{x} (x^{2} - 5 x) d x

\frac{d y}{d x} = \frac{x ^{3}}{y ^{2}}

\int (1 - cos (2 x))^{2} d x

\frac{d ^{3}}{d x ^{3}} (\frac{1}{x})

\int (5 x^{2} + 6 + \frac{7}{x ^{2} + 1}) d x

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