Sunday

January 25, 2015

January 25, 2015

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

**Answer this Question**

**Related Questions**

calculus - Use a linear approximation (or differentials) to estimate the given ...

Calculus - Use a linear approximation (or differentials) to estimate the given ...

Calculus. - Use a linear approximation (or differentials) to estimate the given ...

calculus - Use a linear approximation (or differentials) to estimate the given ...

calculus - Use a linear approximation (or differentials) to estimate the given ...

Calculus - Use differentials (or, equivalently, a linear approximation) to ...

Calc. - Use a linear approximation (or differentials) to estimate the given ...

math - Use a linear approximation (or differentials) to estimate the given ...

AP Calculus - Use differentials (or a linear approximation) to estimate (2.001)^...

Calculus - Use linear approximation or differentials to estimate the amount of ...