SOLUTION: I need help with calculus Find the linearization L(x) of the function at a. f(x) = {{{x^4 + 6x^2}}}, a = 1

Algebra ->  College  -> Linear Algebra -> SOLUTION: I need help with calculus Find the linearization L(x) of the function at a. f(x) = {{{x^4 + 6x^2}}}, a = 1      Log On


   

Question 729520: I need help with calculus
Find the linearization L(x) of the function at a.
f(x) = x%5E4+%2B+6x%5E2, a = 1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the linearization L(x) of the function at a.
f(x) =x^4+6x^2, a = 1
***
L(x)=f(a)+f'(a)(x-a)
f(a)=f(1)=1+6=7
f'(a)=4x^3+12x
f'(1)=4+12=16
L(x)=7+16(x-1)
L(x)=7+16x-16
L(x)=16x-9