What is the derivative of arctan(-6x) ?

The derivative of arctan(-6x) is -6/(36x^2+1)

What is the first derivative of arctan(-6x) ?

The first derivative of arctan(-6x) is -6/(36x^2+1)

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derivative of

arctan (- 6 x)

- \frac{6}{36 x ^{2} + 1}

Solution steps

\frac{d}{d x} (arctan (- 6 x))

Apply the chain rule:

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

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

\frac{d}{d x} (- 6 x) = - 6

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

Simplify

\frac{1}{( - 6 x ) ^{2} + 1} (- 6) : - \frac{6}{36 x ^{2} + 1}

= - \frac{6}{36 x ^{2} + 1}

4 t^{2} cos (2 t) + 5 t e^{- 7 t}

f (x) = \frac{c ^{5} - x ^{5}}{c ^{5} + c ^{5}}

f^{^{'}} (t) - f (t) = 6 t

y^{2} + x^{2} y^{^{'}} = x y y^{^{'}}

What is the derivative of arctan(-6x) ?
The derivative of arctan(-6x) is -6/(36x^2+1)
What is the first derivative of arctan(-6x) ?
The first derivative of arctan(-6x) is -6/(36x^2+1)