Answered

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Find a general formula for f^(n) if f(x) = x^-9. (Use symbolic notation and fractions where needed.)

Sagot :

Answer:

The nth derivative of a function f(x) = x^(-9) can be found using the power rule of derivatives, which states that (x^n)' = nx^(n-1).

So, we have:

f^(n)(x) = [(x^(-9))^n]' = (-9)^n * (x^(-9))^(n-1) = (-9)^n * x^(-9n-9)

Thus, the general formula for the nth derivative of the function f(x) = x^(-9) is (-9)^n * x^(-9

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