Originally Posted by

**3deltat** Looking back on this problem, i have one question..

Its wanting to use a linear approximation to estimate the number..

(2.001)^5

Here's my work: x=2..

f(x)= x^5 f(2) = 32 = (which is y),

f'(x)= 5x^4. f'(2) = 80 = (which is m)

Y-32=80(x-2)

y=80x-128

so i know (2.001)^5 actually is 32.08008004...

and y=80(2)-128 = 32...

and y=80(.001) - 128 = .08 - 127.92 = -127.92...

then the answers were that the ▲y = .08008 and dy=.08

what are ▲y=.08008 and dy from?

If the .08 is from y=80(.001), where did the -128 go?

thanks...