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October 1, 2014

October 1, 2014

Posted by **Alaina** on Saturday, May 4, 2013 at 6:58pm.

delta y= f(x+delta x)- f(x)

= f(4.1) - f(4)

delta y= f(4.1)-8

f(x + delta x)= 8 + 3/2*x^(1/2)*0.1

= 8 + 0.15x^(1/2)

= 8 + 0.30

= 8.30

delta y= 8.30 - 8

delta y= 0.30

but this is wrong. why is it wrong?

- Calculus-Solved - Incorrect -
**Steve**, Saturday, May 4, 2013 at 7:13pmHmm. Looks good to me. But you've done a lot of extra work. Using differentials, we approximate delta y = dy

dy = f'(x) dx

= 3/2 x^(1/2) dx

= 3/2 (2) (.1)

= 0.3

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