# How do you find the linearization of #f(x)=cosx# at x=5pi/2?

Considering that:

This becomes:

By signing up, you agree to our Terms of Service and Privacy Policy

To find the linearization of ( f(x) = \cos(x) ) at ( x = \frac{5\pi}{2} ), follow these steps:

- Find the value of ( f(x) ) at ( x = \frac{5\pi}{2} ). This will be the ( y )-coordinate of the point on the curve.
- Find the derivative of ( f(x) = \cos(x) ).
- Evaluate the derivative at ( x = \frac{5\pi}{2} ). This will be the slope of the tangent line.
- Use the point-slope form of a line to write the equation of the tangent line using the point ( \left(\frac{5\pi}{2}, f\left(\frac{5\pi}{2}\right)\right) ) and the slope obtained in step 3.

The linearization ( L(x) ) of ( f(x) ) at ( x = \frac{5\pi}{2} ) will be the equation of the tangent line.

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- How do you use differentials to estimate the value of #cos(63)#?
- How do you use Newton's method to find the approximate solution to the equation #x^3-10x+4=0, x>1#?
- How do you find the length and width of a rectangle whose area is 900 square meters and whose perimeter is a minimum?
- How do you use differentials and the function #f(x,y) = arctan(x*y^2)# to approximate the value of f(0.94, 1.17)?
- How do you find the point on the the graph #y=sqrtx# which is plosest to the point (4,0)?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7