Question #3f80c

Dec 14, 2017

Please see below.

The average rate of change is

#(f(x+h)-f(x))/h = (-4(x+h)^3-(-4x^3))/h#

# = (-4(x^3+3x^2h+3xh^2+h^3)+4x^3)/h#

# = (-12x^2h-12xh^2-4h^3)/h#

# = -12x^2-12xh-4h^2#

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