y=5x csc x Did I differentiate this correctly
5x-cscxcotx+cscx 5 I used the product rule
My second question is
y=-cscx-sin(x)
There should only be two terms when you use the product rule - not three. I suspect you mean which is the correct.
Spoiler:
edit: I put the original second question in a spoiler since the OP edited it out
For your (new) second equation you can take the derivatives separately.
If you don't know the derivative of -csc(x) then you can write it as and use the chain rule.
Is your question or -- the latter is subtraction.
Since you've used the product rule I suspect it's the former. If so use the fact that
That can be simplified:
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edit: Please tidy your work up
-csc(x)-cos(x)+cot(x)csc(x)-sin(x) = which clearly isn't right.
If you must use plain text then put it as -csc(x)*-cos(x)+cot(x)csc(x)*-sin(x) so we know you're multiplying by a negative number rather than subtracting.