SOLUTION: Let y = {{{ (10/(x^5)) }}} Find the values for A and B so that {{{ (dy)/(dx) = (A)/(X^B) }}}, where A = ____ B = ____ Please explain Thank you

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Question 989583: Let y = Find the values for A and B so that
, where
A = ____
B = ____
Please explain
Thank you

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
y = 10/x^5
y = 10x^(-5)

Apply the derivative. Use the power rule

dy/dx = -5*10*x^(-5-1)
dy/dx = -50*x^(-6)
dy/dx = -50/(x^6)

So we see that A = -50 and B = 6

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