SOLUTION: Use the product rule to differentiate each of the following with respect to x. a) (1-x^2)^2(1+2x^2) b) x^2(1-4x)^3

Question 1190933: Use the product rule to differentiate each of the following with respect to x.
a) (1-x^2)^2(1+2x^2)
b) x^2(1-4x)^3
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Use the product rule to differentiate each of the following with respect to x.
-------------
a) (1-x^2)^2(1+2x^2)
= d/dx((1-x^2)^2 * (1+2x^2) + (1-x^2)^2 * d/dx(1+2x^2)
=
=================================
b) x^2(1-4x)^3
d/dx =
==========================
Some combining of terms is possible.
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