A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the linearization L(x) of the function at a.
f(x) = x4 + 2x2, a = -1, L(x) =
Solution:
Linearization is an effective method for approximating the output of a function at any point based on the value and slope of the function, given that is differentiable on (or ) and that is close to.
The given function is f(x) = x4 + 2x2
We have to find L(x) at a = -1
f(-1) = 1 + 2 = 3
f’(x) = 4x3 + 4x
f’(-1) = 4(-1)3 + 4(-1)
f’(-1) = -4 - 4 = -8
The tangent line has the slope point form
y - f(-1) = f’(-1)(x + 1)
y - 3 = -8(x + 1)
y = 3 - 8(x + 1)
Therefore, the linearization L (x) is y = 3 - 8(x + 1).
Find the linearization L(x) of the function at a.
f(x) = x4 + 2x2, a = -1, L(x) =
Summary:
The linearization L(x) of the function at a is y = 3 - 8 (x + 1).
Math worksheets and
visual curriculum
visual curriculum