# How do you differentiate #sinx+sinxcosx#?

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To differentiate ( \sin(x) + \sin(x)\cos(x) ), you can use the sum rule and the product rule of differentiation.

First, differentiate ( \sin(x) ) with respect to ( x ), which gives ( \cos(x) ).

Next, for the term ( \sin(x)\cos(x) ), use the product rule: differentiate ( \sin(x) ) to get ( \cos(x) ) and then differentiate ( \cos(x) ) to get ( -\sin(x) ), and multiply these results together.

Finally, combine the derivatives of both terms to get the overall derivative of the expression.

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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.

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.

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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