What is the derivative of-2(arctan(3x-arctan(2x))+x) ?

The derivative of-2(arctan(3x-arctan(2x))+x) is -(2(-6x^2+1))/((9x^2+1)(4x^2+1))+1

What is the first derivative of-2(arctan(3x-arctan(2x))+x) ?

The first derivative of-2(arctan(3x-arctan(2x))+x) is -(2(-6x^2+1))/((9x^2+1)(4x^2+1))+1

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

- \frac{2 ( - 6 x ^{2} + 1 )}{( 9 x ^{2} + 1 ) ( 4 x ^{2} + 1 )} + 1

Solution steps

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

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (2 (arctan (3 x) - arctan (2 x))) + \frac{d x}{d x}

\frac{d}{d x} (2 (arctan (3 x) - arctan (2 x))) = \frac{2 ( - 6 x ^{2} + 1 )}{( 9 x ^{2} + 1 ) ( 4 x ^{2} + 1 )}

\frac{d x}{d x} = 1

= - \frac{2 ( - 6 x ^{2} + 1 )}{( 9 x ^{2} + 1 ) ( 4 x ^{2} + 1 )} + 1

\int \frac{3}{60 - t} d t

\frac{8}{x ^{2} + 4}

f (x) = \frac{20 x}{x ^{2} - 5}

x \to - 6 + lim (\frac{1}{( x + 6 ) ^{6}})

\int_{0}^{3} - 6 x^{2} d x

What is the derivative of-2(arctan(3x-arctan(2x))+x) ?
The derivative of-2(arctan(3x-arctan(2x))+x) is -(2(-6x^2+1))/((9x^2+1)(4x^2+1))+1
What is the first derivative of-2(arctan(3x-arctan(2x))+x) ?
The first derivative of-2(arctan(3x-arctan(2x))+x) is -(2(-6x^2+1))/((9x^2+1)(4x^2+1))+1