Linear Approximation & Max Min

Question 1

Differential formula

Answer 1

dx = f’(x)*dx

Question 2

Linear approximation formula

Answer 2

F(x)=f(a)+f’(a)(x-a)

Question 3

Relative error formula

Answer 3

Delta f(x) / f(x) ~ df / f(x)

Question 4

Local maxima and minima

Answer 4

Also known as local or relative extrema, the largest or smallest values of the function within a given range

Question 5

Absolute maxima and minima

Answer 5

The smallest or largest numbers on the whole domain of a function aka global or absolute extrema

Question 6

Critical points

Answer 6

The points where the derivative of the function is equal to 0.