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17-04-2017
Mathematics

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Find the derivative of f(x) = -9/x at x = 6

Respuesta :

17-04-2017

f(x)=-9/x which is equal to:

f(x)=-9x^(-1) So the power rule for differentiation is used...

Power rule: f(x)=x^e, df/dx=ex^(e-1) so:

df/dx=-9(-1)x^(-1-1)

df/dx=9x^(-2) or if you prefer...

df/dx=9/x^2

df/dx(6)=9/36=1/4

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