Answer to Question #19264 in Calculus for hsd

Question

Use differential, (i.e. linear approximation), to approximate cube root(64.3) as follows:

Let f(x)=cube root(x). The linear approximation to f(x) at x=64 can be written in the form y=mx+b. Computer m and b.

m=
b=


Using this, find the approximation for cube root(64.3).
Answer: