find dy/dx (x^4*lx)
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Answer:
Let f(x) = 3x^4 + 2x^2 + 10
f(x+h) = 3(x^4 +4x^3 h + 6x^2 h^2 + 4xh^3 + h^4) +2(x^2 + 2xh + h^2) + 10
f(x+h) - f(x) = 12x^3 h + + 18x^2 h^2 + 12xh^3 + 3h^4) + 4xh +2h^2
(f(x+h)-f(x))/h = 12x^3 +18x^2 h + 12xh^2 +3h^3 +4x +2h
Take the limit of this last expression as h goes to 0. You get
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