Find the derivative of:
\[7\div-3\cos 3x\]
\[\frac{7}{-3\cos{3x}}\]Remember, a constant can always be factored out, or you could use the quotient rule.
When I worked it out, i ended up with an extra number
can we make this sec3x and then diff @rational
\[7\sin3x \div-3\cos^23x\] this is what i got
we havent learnt sec
So... \[\frac{\frac{d}{dx}(7)(-3\cos(3x))-\frac{d}{dx}(-3\cos(3x))(7)}{(-3\cos(3x))^2}\]
If you're just getting used to taking derivatives.
A quick derivation of the derivative of sec x if you want me to explain any part of this more feel free to ask :) \[\large \frac{d}{dx}\sec(x) = \frac{d}{dx} (\cos x )^{-1}=-1(\cos x)^{-2}(-\sin x)=\tan x \sec x\]
I think I figured out what i did wrong. Thanks anyway for the help!!
Which method did you use?
You could also use the product rule which @Kainui hinted at. \[7(-3\cos(3x))^{-1}\]where \(f(x) =7\) and \(g(x) = -3\cos(3x)\)
anyways u got ur mistake and now its cleared All the best @adriana_98
Thanks. Exam is tomorrow :(
Good luck. May Newton be with you.
lol
Thanks!! @Jhannybean
No problem :)
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