How do you find the linearization of #f(x) = x^4 + 5x^2# at the point a=1?
1 Answer
The linearization is the tangent line. (Or maybe it is more helpful to say: it is a way of thinking about and using the tangent line.)
Explanation:
At
Equation of tangent line in point-slope form:
#y-6 = 14(x-1)#
Linearization at
#L(x) = 6+14(x-1)#
Free example of using the linearization
(The point on the tangent line with
The exact value is
If you're very patient and steady of hand, you can find these two values using the graph:
graph{(y-x^4-5x^2)(y-14x+8)=0 [0.1604, 1.846, 6.859, 7.7024]}