Question 1190933
Use the product rule to differentiate each of the following with respect to x.
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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)
= {{{2*(1-x^2)*(-2x)*(1+2x^2) + ((1-x^2)^2)*4x}}}
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b) x^2(1-4x)^3
d/dx = {{{2x*(1-4x)^3 + (x^2)*3(1-4x)^2*(-4)}}}
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Some combining of terms is possible.