Differentiate

y= 2 csc x + 5 cos x

I don't think I am doing this right..

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- Oct 5th 2008, 10:51 AMthecountdifferentiate trig function
Differentiate

y= 2 csc x + 5 cos x

I don't think I am doing this right.. - Oct 5th 2008, 11:03 AMChop Suey
$\displaystyle \frac{d}{dx}cf(x) = cf'(x)$

$\displaystyle \frac{d}{dx}\csc{x} = -\csc{x}\cot{x}$

$\displaystyle \frac{d}{dx}\cos{x} =-\sin{x}$

Post your answer here to see if it's correct or not. - Oct 5th 2008, 11:05 AMo_O
The derivative of a sum is the sum of its derivatives: $\displaystyle \frac{d}{dx} \left[ f(x) + g(x) \right] = \frac{d}{dx} f(x) + \frac{d}{dx} g(x)$

So just differentiate each term. What's the derivative of $\displaystyle \csc x$? How about that of $\displaystyle \cos x$? - Oct 5th 2008, 11:08 AMthecount
my answer was

-2 csc x cot x - 5 sin x - Oct 5th 2008, 11:15 AMChop Suey
Correct. (Clapping)