First slide

Differentiation

Question

Differentiate (y-4)(2y + $y^{2}$ ) with respect to y

Moderate

A

$y^{3} - 8 y^{2} + 9$
B

$3 y^{2} - 4 y - 8$
C

$y^{2} + 3 y + 6$
D

$4 y^{3} - 3 y^{2} + 3$

Solution

$\frac{d}{d y} (y - 4) (2 y + y^{2}) = \frac{d}{d y} (2 y^{2} + y^{3} - 8 y - 4 y^{2}) \frac{d}{d y} (y^{3} - 2 y^{2} - 8 y) = 3 y^{2} - 4 y - 8$

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