Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

Find the linearization L(x) of the function at a = 7π/2 f(x)=cos(x)

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

We need a point and a slope to find a linearization. All you are really finding is a y=mx+b First find m Take the derivative of cos x sub in 7pi/2 This value will be the slope for your line Now we need a point We know x = 7pi/2 Use f(x)=cos(x) to find y = f(7pi/2) Then I like to use the point-slope form of the equation of a line \[y-y _{1} =m \left( x-x _{1} \right) \] Solve for y
can you show me steps by steps please?
\[f(x)=f(a)+f'(a)(x-a)=\cos{\frac{7\pi}{2}}-\sin{\frac{7\pi}{2}}\left(x-\frac{7\pi}{2}\right)=x-\frac{7\pi}{2}\]

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

derivative of cos(x) = -sin(x) -sin(7pi/2) = -sin(pi/2) = -(-1) now for the point (7pi/2, ? ) cos(7pi/2) = 0 Then it is just like what nikvist posted. OK?

Not the answer you are looking for?

Search for more explanations.

Ask your own question