Mathematics
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OpenStudy (anonymous):
find derivative of y=tan8x + cos1/8x
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OpenStudy (anonymous):
derivative of tanx = sec^2 x
derivative the cosx = -sinx
OpenStudy (anonymous):
is this
\[\tan(8x)+\cos(\frac{1}{8x})\]
OpenStudy (anonymous):
so do i use the product rule
OpenStudy (anonymous):
then you do the chain rule
8sec^(8x)-1/8sin(1/8x)
OpenStudy (anonymous):
if so use the chain rule. the derivative of
\[\tan(x)\] is \[\sec^2(x)\] so derivative of
\[\tan(8x)=8\sec^2(8x)\]
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OpenStudy (anonymous):
8sec^2(8x)-1/8sin(1/8x)
OpenStudy (anonymous):
@anilorap should be should be + not -
OpenStudy (anonymous):
derivative of
\[\frac{1}{8x}\] is \[-\frac{1}{8x^2}\]
OpenStudy (anonymous):
Q. is the x in the denominator?
OpenStudy (anonymous):
so first term of your derivative is
\[8\sec^2(8x)\] and second term is
\[\frac{1}{8x^2}\times \sin(\frac{1}{8x})\]
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OpenStudy (anonymous):
oh good point!
OpenStudy (anonymous):
sorry i was assuming it was what i wrote. but if not then i am wrong and anilorap is right!
OpenStudy (anonymous):
X is next to 1/8
OpenStudy (anonymous):
\[\cos(\frac{x}{8})\] or
\[\cos(\frac{1}{8x})\]?
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
then i am wrong and anilorap is correct.
OpenStudy (anonymous):
1\[\div\]8X
OpenStudy (anonymous):
(1/8)x
OpenStudy (anonymous):
forget that last one typed wrong
OpenStudy (anonymous):
well in that case my answer is correct
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OpenStudy (anonymous):
ayayay.. is the xx is in the denominator yes,, he is lol
OpenStudy (anonymous):
did u get it?