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September 23, 2014

September 23, 2014

Posted by **Tenshi** on Sunday, March 30, 2014 at 10:14pm.

(1.999)^4

- Calculus Help Please -
**Damon**, Sunday, March 30, 2014 at 10:29pmf(x) = f(a) + (x-a) f'(a)

f(x) = x^4

df/dx = 4x^3

let a = 2

then f(a) = 2^4 = 16

f'(a) = 4*8 = 32

f(x) = 16 + (x-a)(32)

x-a = - .001

so

f(1.999) = 16 -.001(32) = 16 - .032

f(1.999) = 15.968

with calculator it is 15.968 also

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