Given that y = (3x^4 + x)^5, find dy/dx using the chain rule.
Let u = 3x4 + x
du/dx = 12x3 + 1
y = u5
dy/du = 5u4
Using the chain rule, dy/dx = dy/du x du/dx
= 5u4 (12x3 + 1)
dy/dx = 5(3x4 + x)(12x3 +1)
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