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Mathematics 19 Online
OpenStudy (anonymous):

f(x) = xe^(8x). Find the nth derivative of f. I took d/dx f'(x) = 8xe^(8x) + e^(8x) f''(x) = 64xe^(8x) + 16e^(8x) f'''(x) = 512xe^(8x) + 192e^(8x) So, 8^(n)xe^(8x)+.... I don't see the pattern for the second term :(

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