What is the derivative of y with respect to x if y = 2/X^4 ?

Question

A. 8/X5
B. 8/X3
C. -8/X5 <---I think it's this one. Not sure.
D. -8/X3

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Answer 1 · 2018-05-31T04:44:23

C. is correct.
#dy/dx = -8/(x^5)#

#y=2/(x^4) = 2x^-4#

Apply the power rule.

#dy/dx = 2xx(-4)x^(-4-1)#

#= -8x^-5#

#= -8/(x^5)#