Question

Determine an appropriate linear approximation of the function f(x)= the square root of x and use it to approximate the square root of 24.2. Write your answer in decimal form

Answer 1

f'=1/2 1/sqrtx

linear approximation: f(24.2)=f(25)-1/2sqrt25*(dx)
= 5-1/2*1/5*.8=5-.08=4.82

Answer 2

Steps above are correct just the answer is wrong because of wrong subtraction. real answer is 4.92