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Mathematics 12 Online
OpenStudy (anonymous):

estimate (.99e^.02)^8 with linear approximation.

OpenStudy (anonymous):

I'm getting lost trying to apply the formula fx (a,b) delta x + fy (a,b) delta y

OpenStudy (anonymous):

I know that e^0 = 1 but I get confused when trying to apply this to the f(x) function to take the derivative of it. so it would be F(x) = (.99e^x)^8 take the deriv of this?

OpenStudy (watchmath):

Consider the function \((xe^y)^8\) and you want to estimate that near (1,0)

OpenStudy (anonymous):

ohhh, so would I take partial derivs? or am I think of the wrong thing. Because I believe using that formula i menitoned before it delta y =.01 delta x=.02

OpenStudy (watchmath):

Yes, you take the partial derivative and delta y = -.01

OpenStudy (watchmath):

To make it nicer you probably want to write the function as \(x^8e^{8y}\)

OpenStudy (anonymous):

i figured it out! did the easy derivative wrong haha

OpenStudy (amistre64):

:) it happens

OpenStudy (anonymous):

\[(1+((8(1)^7)*(-.01)) + (0+8e^0)*(.02))\] which =1.08 which is a much better percentage of error.

OpenStudy (anonymous):

quaint pre-calculator problem from math teachers youth

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