The best approximation for f(2.03) using local linearization will be 10.03
What is linearization?
- In mathematics, linearization is finding the linear approximation to a function at a given point
- Linearization is a mathematical process of finding the linear approximation of inputs and corresponding outputs.
What are steps to solve this problem?
The steps are as follow:
- Given that f(2) = 10 and f prime of x equals the quotient of x cubes and the quantity x plus 6
- we have to find approximation of f(2.03) using local linearization as follows:
f'(x)= x^3/x+6
f(2) = 10
f(2.03) = ?
f(2.03) = f(2) + f'(2.03)(2.03 - 2)
f(2.03) = 10 + 0.03
f(2.03) = 10.03
So the best approximation for f(2.03) using local linearization will be 10.03
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