Question

Differentiate  y=(1+2x^2)cot^-1 2x

Answer 1

Clarify \(y = (1+2x^2)\cdot \cot^{-1}(2x)\) ??

Product Rule
Chain Rule

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Answer 2

YES !

Answer 3

Chop it up. Write it out.

\(\dfrac{dy}{dx} = (1+2x^{2})\cdot \left[\dfrac{d}{dx}\cot^{-1}(2x)\right] + \cot^{-1}(2x)\cdot \left[\dfrac{d}{dx}(1+2x^{2})\right]\)

Now what?

Answer 4

Thanks !!

Answer 5

I also need help with this question as well
Find the derivative
\[y=arcoss \frac{ b+acosx }{ a+bcosx} , 0\le x \le \pi , a > b >0 \]

Answer 6

Chain Rule
Quotient Rule

Go!

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