# How do you differentiate #f(x) =cosx*sec^2(x) #?

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Rewrite first

So,

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To differentiate f(x) = cos(x) * sec^2(x), you can use the product rule of differentiation, which states that if you have a function h(x) = u(x) * v(x), then h'(x) = u'(x) * v(x) + u(x) * v'(x). Applying this to f(x), you differentiate each part separately:

- Differentiate cos(x) with respect to x to get -sin(x).
- Differentiate sec^2(x) with respect to x to get 2 * sec(x) * tan(x).

Then, apply the product rule:

f'(x) = (-sin(x)) * sec^2(x) + cos(x) * (2 * sec(x) * tan(x))

Simplify further if needed.

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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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