What is the derivative of (arctan(8x)^2) ?

The derivative of (arctan(8x)^2) is (16arctan(8x))/(64x^2+1)

What is the first derivative of (arctan(8x)^2) ?

The first derivative of (arctan(8x)^2) is (16arctan(8x))/(64x^2+1)

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\frac{d}{d x} ((arctan (8 x))^{2})

\frac{16 arctan ( 8 x )}{64 x ^{2} + 1}

Solution steps

\frac{d}{d x} ((arctan (8 x))^{2})

Apply the chain rule:

2 arctan (8 x) \frac{d}{d x} (arctan (8 x))

= 2 arctan (8 x) \frac{d}{d x} (arctan (8 x))

\frac{d}{d x} (arctan (8 x)) = \frac{8}{64 x ^{2} + 1}

= 2 arctan (8 x) \frac{8}{64 x ^{2} + 1}

Simplify

2 arctan (8 x) \frac{8}{64 x ^{2} + 1} : \frac{16 arctan ( 8 x )}{64 x ^{2} + 1}

= \frac{16 arctan ( 8 x )}{64 x ^{2} + 1}

\frac{d}{d x} (ln (1 + e^{x}))

\frac{d}{d x} (4 (x^{3} - 1)^{3})

x \to a lim (\frac{4}{1 - x})

f (x) = ln (x)

\int \frac{2 \cdot 3 ^{x}}{2 ^{x}} d x

What is the derivative of (arctan(8x)^2) ?
The derivative of (arctan(8x)^2) is (16arctan(8x))/(64x^2+1)
What is the first derivative of (arctan(8x)^2) ?
The first derivative of (arctan(8x)^2) is (16arctan(8x))/(64x^2+1)