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Popular >

derivative of y=arctan(3x)

Solution

derivative of

y = arctan (3 x)

Solution

\frac{3}{9 x ^{2} + 1}

Solution steps

\frac{d}{d x} (arctan (3 x))

Apply the chain rule:

\frac{1}{( 3 x ) ^{2} + 1} \frac{d}{d x} (3 x)

= \frac{1}{( 3 x ) ^{2} + 1} \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= \frac{1}{( 3 x ) ^{2} + 1} \cdot 3

Simplify

\frac{1}{( 3 x ) ^{2} + 1} \cdot 3 : \frac{3}{9 x ^{2} + 1}

= \frac{3}{9 x ^{2} + 1}

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\int \frac{x ^{2}}{( 5 - x ^{2} ) ^{3}} d x

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n = 0 \sum \infty cos (πn)

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

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\int sec^{4} (x) tan^{4} (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of y=arctan(3x) ?
The derivative of y=arctan(3x) is 3/(9x^2+1)
What is the first derivative of y=arctan(3x) ?
The first derivative of y=arctan(3x) is 3/(9x^2+1)