Question

how would i find the derivative of cos(x)-xcsc(x)?

Answer 1

find derivative of cosx, then use uv-vdu for xcscx to get derivative

Answer 2

What is uv-vdu?

Answer 3

integration by parts

Answer 4

@dorky_nefty, if you know the derivative of \(\cos x\), the first term is simple to differentiate.

For the second term, \(-x\csc x\), you have to use the product rule.

Overall, you have
\[\begin{align*}\frac{d}{dx}\left(\cos x-x\csc x\right)&=\frac{d}{dx}\cos x-\frac{d}{dx}x\csc x\\
&=\frac{d}{dx}\cos x-\left(\frac{d}{dx}[x]\csc x+x\frac{d}{dx}[\csc x]\right)\\
\end{align*}\]

Answer 5

looking at this answer above me.. seems wrong LOL

Answer 6

Okay I think I know what I have to do now thanks :)

Answer 7

You're welcome