Please answer all for number 2?
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1 Answer
I have corrected part b.
Explanation:
a)
b) For this
#= lim_(hrarr0)([2(x+h)^3-6(x+h)]-[2x^3-6x])/h#
# = lim_(hrarr0)([2(x^3+3x^2h+3xh^2+h^3)-6(x+h)]-[2x^3-6x])/h#
# = lim_(hrarr0)(2x^3+6x^2h+6xh^2+2h^3-6x-6h-2x^3+6x)/h#
# = lim_(hrarr0)(6x^2h+6xh^2+2h^3-6h)/h#
# = lim_(hrarr0)(6x^2+6xh+2h^2-6)#
# = 6x^2-6#
c)
Therefore,
So
d)
e)
Assuming that the question wants the maximal open interval on which