differentiate y = 4x^3(12e^-4x) with respect to x
y = 4x3e-4x u = 4x3 v = e-4x du/dx = 12x2 dv/dx = -4e-4x using the product rule; vdu +udv vdu + udv = 12x2e-4x - 16x3e-4x
LM
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