# How do you differentiate #cos(x^4)-2sinx#?

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To differentiate cos(x^4) - 2sin(x) with respect to x, apply the chain rule for the differentiation of cos(x^4) and the differentiation of -2sin(x).

The derivative of cos(x^4) is -4x^3sin(x^4), and the derivative of -2sin(x) is -2cos(x).

So, the derivative of cos(x^4) - 2sin(x) with respect to x is -4x^3sin(x^4) - 2cos(x).

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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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