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Popular >

derivative of arctan^2(6x)

Solution

\frac{d}{d x} (arctan^{2} (6 x))

Solution

\frac{12 arctan ( 6 x )}{36 x ^{2} + 1}

Solution steps

\frac{d}{d x} (arctan^{2} (6 x))

Apply the chain rule:

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

= 2 arctan (6 x) \frac{d}{d x} (arctan (6 x))

\frac{d}{d x} (arctan (6 x)) = \frac{6}{36 x ^{2} + 1}

= 2 arctan (6 x) \frac{6}{36 x ^{2} + 1}

Simplify

2 arctan (6 x) \frac{6}{36 x ^{2} + 1} : \frac{12 arctan ( 6 x )}{36 x ^{2} + 1}

= \frac{12 arctan ( 6 x )}{36 x ^{2} + 1}

Popular Examples

y^{''}-12y^'+100y=0

y^{^{''}} - 12 y^{^{'}} + 100 y = 0

y^'=5y+e^{-2x}y^{-2},y(0)=2

y^{^{'}} = 5 y + e^{- 2 x} y^{- 2}, y (0) = 2

derivative of f(x)=x^{10}e^x derivative of

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sum from n=0 to infinity of sqrt(1+n)

n = 0 \sum \infty 1 + n

Frequently Asked Questions (FAQ)

What is the derivative of arctan^2(6x) ?
The derivative of arctan^2(6x) is (12arctan(6x))/(36x^2+1)
What is the first derivative of arctan^2(6x) ?
The first derivative of arctan^2(6x) is (12arctan(6x))/(36x^2+1)