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OpenStudy (anonymous):
derrivative of sec(3x-2)
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hartnn (hartnn):
do you know chain rule ?
OpenStudy (anonymous):
no
hartnn (hartnn):
Chain rule : \((f(g(x))' = f'(g(x)) \times g'(x)\) here, first tell me whats the derivative of sec x ?
OpenStudy (anonymous):
sec x times tan x
hartnn (hartnn):
and derivative of 3x-2 ?
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OpenStudy (anonymous):
3
hartnn (hartnn):
yes, correct. so, (sec (3x-2))' = sec (3x-2) tan (3x-2) * (3x-2)' =3sec (3x-2) tan (3x-2) got this ?
OpenStudy (anonymous):
yes
hartnn (hartnn):
good! thats your final answer as it cannot be further simplified. Ask for doubts, if any.
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