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How do you find the derivative of #sin(x^2+1)#?

Answer 1

Luke Alvarez

I would use the Chain Rule, deriving #sin# first as it is and then the argument: #y'=cos(x^2+1)*2x=2xcos(x^2+1)#

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Answer 2

Aurora Alvarado

To find the derivative of sin(x^2+1), you can use the chain rule. The derivative of sin(u) with respect to x is cos(u) * du/dx. In this case, u = x^2+1. Thus, the derivative is cos(x^2+1) * (2x).

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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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