(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Differentiate

s = Tan [itex]^{2}[/itex](e[itex]^{4t}[/itex])

2. Relevant equations

[e[itex]^{u}[/itex]]' = u' e[itex]^{u}[/itex]

[Tan(θ)]' = Sec[itex]^{2}[/itex](θ)

Sec(θ) = [itex]\frac{1}{Cos(θ)}[/itex]

3. The attempt at a solution

s' = 2[Tan(e[itex]^{4t}[/itex])] * Sec[itex]^{2}[/itex](e[itex]^{4t}[/itex]) * 4e[itex]^{4t}[/itex]

s' = 8e[itex]^{4t}[/itex] * Tan(e[itex]^{4t}[/itex]) * Sec[itex]^{2}[/itex](e[itex]^{4t}[/itex])

s' = 8e[itex]^{4t}[/itex] * [itex]\frac{Tan(e^(4t))}{Cos^2(e^(4t))}[/itex]

Mathway says that s' = 0... Can someone please let me know where I went wrong? Thanks

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# Homework Help: Differentiate the following equation

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