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Mathematics 8 Online
OpenStudy (anonymous):

Could somebody give me a hand with this question? What is the derivative of y = sec θ tan θ

OpenStudy (anonymous):

you can use the product rule, or you can use quotient rule after rewriting this as \[y=\frac{\sin(x)}{\cos^2(x)}\]

OpenStudy (anonymous):

probably easier to use \[(fg)'=f'g+g'f\] with \(f(x)=\sec(x), f'(x)=\sec(x)\tan(x), g(x)=\tan(x),g'(x)=\sec^2(x)\)

OpenStudy (anonymous):

I tired using the product rule and got sec*sec^2+tan*sec*csc

OpenStudy (anonymous):

I would assume that is not correct =).

OpenStudy (anonymous):

there is no cosecant in it

OpenStudy (anonymous):

derivative of secant is secant tangent, not secant cosecant that is your only mistake

OpenStudy (anonymous):

If I rewrote the question in terms of division, wouldn't I have to use the chain rule?

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