Question

derivative of secx derivative of secx @Mathematics

Answer 1

anybody can help me?

Answer 2

What's that supposed to mean?

Answer 3

a derivative?

Answer 4

tan(x)sec(x)
This are all very common derivatives... your book should have a table of them somewhere... and I would suggest just memorizing all of the trig derivatives and integrals, it will come in handy when you get to trig substitution integration.

Answer 5

ok.. sec(x) is the same as \[\frac{1}{\cos(x)}\] So use the quotient rule to find the derivative...

\[\frac{\cos(x)(0) - 1(-\sin(x))}{\cos^2(x)}\] Simplify and you get \[\frac{\sin(x)}{\cos^2(x)}\] This can be written as \[\frac{1}{\cos(x)} * \frac{\sin(x)}{\cos(x)}\] Which is sec(x)tan(x)