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 linear approximation to f(x) at x = x o. Graph the function and its linear approximation. f(x) = sin 3x, x 0, = 0

See more answers at
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.

Join Brainly to access

this expert answer


To see the expert answer you'll need to create a free account at Brainly

@satellite73 can u help please?
this is the same as "find the equation of the line tangent to the graph of \(y=\sin(3x)\) at \((0,0)\)"
take the derivative, replace \(x\) by 0 for the slope (you will get 3) and then use the point slope formula

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

since the point is \((0,0)\) the equation of the line will be \(y=3x\)
ok so find the derivative of sin 3x right?
Ok so i got 3cos(3x)
yes now evaluate at \(x=0\) to find your slope
ok i got 3
that is the slope of your line
okay so now i have to use the point slop formula?
but the point is \((0,0)\) so it is just \(y=3x\)
okay so what do i do next?
you are done
linear approximation of f(x) at x=x0: \[f(x)=f(x_0)+(x-x_0)f'(x_0)\]
you can use this way too. (notice the resemblance to equation of line)

Not the answer you are looking for?

Search for more explanations.

Ask your own question