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Popular >

derivative of f(x)=cos(tan^3(x))

Solution

derivative of

f (x) = 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)

Graph

Popular Examples

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\int 21 sec^{- 2} (x t a) n^{3} x d x

d/(dθ)(e^{tan(θ)})

\frac{d}{d θ} (e^{t a n (θ)})

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\int \frac{6}{2 x + 3 x ^{2}} d x

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

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Frequently Asked Questions (FAQ)

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