Can someone please show me how to approximate the square root of 172, by using calculus. thank you
Hello, mzkmikey!
I believe they want us to use differentials.Approximate using calculus.
We have the function: .
The differential is: .
Let
We know that: .
. . where is actual difference between and
And we know:. . .[1]
. . where is an approximation of
We have: .
Therefore: .