Differentiate each of the following w.r.t. x

We have given

Let us Assume


And


So, y= cos v


Now, differentiate w.r.t v



And, v= tan w


Now, again differentiate w.r.t. w



And, we know,


So, differentiate w w.r.t. x we get



Now, using chain rule we get,




Substitute the value of v and w ,



Hence, dy/dy is the differentiation of function.


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