What is the derivative of 2/x-x^2+1 ?

The derivative of 2/x-x^2+1 is -2x-2/(x^2)

What is the first derivative of 2/x-x^2+1 ?

The first derivative of 2/x-x^2+1 is -2x-2/(x^2)

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

- 2 x - \frac{2}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{2}{x}) - \frac{d}{d x} (x^{2}) + \frac{d}{d x} (1)

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

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

\frac{d}{d x} (1) = 0

= - \frac{2}{x ^{2}} - 2 x + 0

Simplify

= - 2 x - \frac{2}{x ^{2}}

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

y^{^{''}} - 5 y^{^{'}} = 25 t

\int_{3}^{3} \frac{6}{9 + x ^{2}} d x

\int 3 t^{3} (t^{2} + 4)^{5} d t

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

What is the derivative of 2/x-x^2+1 ?
The derivative of 2/x-x^2+1 is -2x-2/(x^2)
What is the first derivative of 2/x-x^2+1 ?
The first derivative of 2/x-x^2+1 is -2x-2/(x^2)