Product Rule differentiation worksheet with ten polynomial function problems.

A math worksheet titled "Product Rule" with ten problems requiring differentiation of polynomial functions using the power rule, from Math-Aids.com.

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1) y' = (-2x^5 + 4)(8x^3 + 14x) + (2x^4 + 7x^2)(-10x^4)
2) y' = (-4x^4 + x^3 - 2x^2)(15x^4 + 14x + 4) + (3x^5 + 7x^2 + 4x)(-16x^3 + 3x^2 - 4x)
3) y' = (-4x^5)(15x^2) + (6x^3)(-20x^4)
4) y' = (5x^5)(-3x^2 + 4) + (-x^3 + 4x^2)(25x^4)
5) y' = (3x^4)(-7) + (-7x)(12x^3)
6) y' = (3x^2 - x + 4)(25x^4) + (5x^5)(6x - 1)
7) y' = (-7x^4)(15x^2) + (5x^3)(-28x^3)
8) y' = (-2x^4 + 5x^3 + 2)(-6x - 4) + (-3x^2 - 4x)(-8x^3 + 15x^2)
9) y' = (-8x^6 - x^4 + 8x^3)(14x) + (7x^2)(-48x^5 - 4x^3 + 24x^2)
10) y' = (-2x^3 + 2x + 5)(-12x^3 - 8) + (-3x^4 - 8x)(-6x^2 + 2)

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