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konstantin123 [22]
3 years ago
7

What is the derivative of sec(x)^2

Mathematics
1 answer:
zlopas [31]3 years ago
3 0
This is also written as sec^2(x)
Using chain rule, we can separate this into 2sec(x)*d/dx(sec(x))
Using trig derivative identities, we know that d/dx(sec(x))=tan(x)sec(x)
Therefore, we have 2sec(x)*tan(x)sec(x), which simplifies down to 2tan(x)sec^2(x).  

Hope this helps!
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