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Popular >

derivative of ln(tan(7x))

Solution

\frac{d}{d x} (ln (tan (7 x)))

Solution

7 sec^{2} (7 x) cot (7 x)

Solution steps

\frac{d}{d x} (ln (tan (7 x)))

Apply the chain rule:

\frac{1}{tan ( 7 x )} \frac{d}{d x} (tan (7 x))

= \frac{1}{tan ( 7 x )} \frac{d}{d x} (tan (7 x))

\frac{d}{d x} (tan (7 x)) = sec^{2} (7 x) \cdot 7

= \frac{1}{tan ( 7 x )} sec^{2} (7 x) \cdot 7

Simplify

\frac{1}{tan ( 7 x )} sec^{2} (7 x) \cdot 7 : 7 sec^{2} (7 x) cot (7 x)

= 7 sec^{2} (7 x) cot (7 x)

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\int \frac{x}{x ^{2} + 16} d x

laplacetransform e^{3x}sin(6x)laplace transform

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\int \frac{x}{x - 21} d x

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

Frequently Asked Questions (FAQ)

What is the derivative of ln(tan(7x)) ?
The derivative of ln(tan(7x)) is 7sec^2(7x)cot(7x)
What is the first derivative of ln(tan(7x)) ?
The first derivative of ln(tan(7x)) is 7sec^2(7x)cot(7x)