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Popular >

derivative of cos(tan^3(x))

Solution

derivative of

cos (tan^{3} (x))

Solution

- sin (tan^{3} (x)) \cdot 3 tan^{2} (x) sec^{2} (x)

Solution steps

\frac{d}{d x} (cos (tan^{3} (x)))

Apply the chain rule:

- sin (tan^{3} (x)) \frac{d}{d x} (tan^{3} (x))

= - sin (tan^{3} (x)) \frac{d}{d x} (tan^{3} (x))

\frac{d}{d x} (tan^{3} (x)) = 3 tan^{2} (x) sec^{2} (x)

= - sin (tan^{3} (x)) \cdot 3 tan^{2} (x) sec^{2} (x)

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inverse oflaplace {s/(s^2+2s-3)}inverse laplace

{\frac{s}{s ^{2} + 2 s - 3}}

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\int ln (s) ec x tan (x) d x

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Frequently Asked Questions (FAQ)

What is the derivative of cos(tan^3(x)) ?
The derivative of cos(tan^3(x)) is -sin(tan^3(x))*3tan^2(x)sec^2(x)
What is the first derivative of cos(tan^3(x)) ?
The first derivative of cos(tan^3(x)) is -sin(tan^3(x))*3tan^2(x)sec^2(x)