Finding approximate value of function
Last updated at April 19, 2021 by Teachoo
Example 23 Find the approximate value of f (3.02), where f (x) = 3x2 + 5x + 3.Given f(x) = 3x2 + 5x + 3 where x = 3 and โ๐ฅ=0.02 Finding fโ(x) fโ(x) = 6x + 5 Now, โณy = fโ(x) โ๐ = (6x + 5) 0.02 Putting x = 3 = (6 ร 3 + 5) 0.02 = 23 ร 0.02 = 0.46 Now, f(x + โ๐) = f(x) + โ๐ f(3.02) = f(3) + 0.46 = (3 ร 32 + 5 ร 3 + 3) + 0.46 = (27 + 15 + 3) + 0.46 = 45 + 0.46 = 45.46 Hence, approximate value of f(3.02) is 45.46