Question #5c4d2

1 Answer
Sep 6, 2017

#(dy)/(dx) = -(8/(9x^4) + 9 sin(x))#

Explanation:

#y = 8/3^3 x^(-3) + 9 cos(x)#

The first term just requires a simple application of the power rule, while the second is a standard derivative:

#(dy)/(dx) = 8/3^3 (-3) x^(-4) - 9 sin(x)#

#(dy)/(dx) = -(8/(9x^4) + 9 sin(x))#