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

Algebra ->  Equations -> 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      Log On


   

Question 989583: Let y = +%2810%2F%28x%5E5%29%29+ Find the values for A and B so that
+%28dy%29%2F%28dx%29+=+%28A%29%2F%28X%5EB%29+, where
A = ____
B = ____
Please explain
Thank you
Answer by jim_thompson5910(35256) About Me  (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