What is the derivative of tanx
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What is the derivative of tanx

[From: ] [author: ] [Date: 11-04-23] [Hit: ]
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sec^2x

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(secx)^2

Explanation:

y = tanx = sinx/cosx
Using the quotient rule:

dy/dx = {(cosx)(cosx) - (sinx)(-sinx)}/(cosx)^2
dy/dx = 1/(cosx)^2
dy/dx = (secx)^2

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Derivetive of tanx = sec^2 x

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Secant sqaure ex
1
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