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differentiate!!!!!!!!!!!!!!!!!!!!

+2 votes
y=70/x^6
asked Feb 23, 2013 in CALCULUS by angel12 Scholar

1 Answer

+2 votes

y = 70/x6

The Rule of exponentiation is: 1/xp = x -p

y = 70(x-6)

Apply 'derivative with respect to x' each side.

dy/dx = (d/dx)[70(x-6)]

Power Rule of Derivative: (d/dx)xn = nxn-1

dy/dx = 70[-6x-7]

dy/dx = -420x-7

dy/dx = - 420/(x7).

Therefore the derivative of y is -420/x7.

answered Feb 23, 2013 by richardson Scholar

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