How do I find the derivative of $y=sin(tan\,x^2)$
Any help will be appreciated.
Use chain rule,i.e.,
$\dfrac{d}{dx}f(g(x))=f'(g(x))×g'(x)$
$\Rightarrow \cos(\tan\,x^2) .\dfrac{d}{dx} (\tan\,x^2)$
$\Rightarrow \cos(\tan\,x^2) \sec^2 (x^2) × 2\,x$
Here is the similar question with complete solution
http://www.actucation.com/calculus-1...tric-functions
You would not use a "times" sign for multiplication, and especially not separating that quantity for the final form.
At a minimum, you would use a style in post #4 using the multiplication dots, although it is common to place the
"2x" to the far left if someone were to keep simplifying with any additional step(s).