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How do you differentiate #f(x) = 2x - x sin x#?

Answer 1

As for the second part of your subtraction, we will use product rule, which states that if #y=f(x)g(x)#, then #y'=f'(x)g(x)+f(x)g'(x)#

#(dy)/(dx)=2-(1*sinx+x*(cosx))# #(dy)/(dx)=2-sinx-xcosx#

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Answer 2

Aurora Alvarado

To differentiate ( f(x) = 2x - x \sin(x) ), apply the product rule. The derivative is ( f'(x) = 2 - \sin(x) - x \cos(x) ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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