What is the derivative of arctan(x-x^2) ?

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

What is the first derivative of arctan(x-x^2) ?

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

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

\frac{1}{x ^{2} + 1} - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{1}{x ^{2} + 1} - 2 x

\int sin (7 x) ln (sin (7 x)) d x

y^{^{'}} = 2 (1 + y^{2}) x

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

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

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

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