# How do you find the linearization at a=pi/4 of # f(x) = cos^(2)(x)#?

the linearization of f(x) is

the solution:

God bless....I hope the explanation is useful.

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To find the linearization of ( f(x) = \cos^2(x) ) at ( a = \frac{\pi}{4} ), follow these steps:

- Find the first derivative of ( f(x) ).
- Evaluate the derivative at ( a = \frac{\pi}{4} ) to find the slope of the tangent line.
- Use the point-slope form of a line with the slope and the point ( \left( \frac{\pi}{4}, f\left(\frac{\pi}{4}\right) \right) ) to find the equation of the tangent line, which represents the linearization.

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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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