Calculus - Derivative of tan and cot

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This video will cover the derivative of tangent and cotangent. These two derivatives are not quite as simple as the ones for sine and cosine, but they do work well with our other rules. In both of these derivatives note there is a power of two.
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Hi can you please explain to me ?
How it's became 1/Cos2(x) + Sinx/CosX ?
at the part of 3:27 ?
How did you get that ?
From this part ?


Response please.
Thank you.

andrei
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The last one :sin x is not supposed to change to cos x?

jjm
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If 3f (x)-2f (1/x)=x then f '(2)=
Please keep the answer for me please

rvnsssmlakshmi
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Why did you put the sec^2x back into the equation?

yearofthevirgo