y=5√x^6 = 5x^(6/2) = 5x^3
dy/dx = 15x^2
approach a million (Quotient rule) f (t) = t / (3t + 8) f `(t) = [ (3t + 8)(a million) - t (3) ] / (3t + 8)² f `(t) = 8 / (3t + 8)² approach 2 (Product rule) f (t) = t (3t + 8)^(-a million) f ` (t) = (a million) (3t + 8)^(-a million) - (3t + 8)^(-2) (3)(t) f `(t) = (3t + 8)^(-2 )[ (3t + 8) - 3t ] f `(t) = 8 / (3t + 8)² skill rule ???
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y=5√x^6 = 5x^(6/2) = 5x^3
dy/dx = 15x^2
approach a million (Quotient rule) f (t) = t / (3t + 8) f `(t) = [ (3t + 8)(a million) - t (3) ] / (3t + 8)² f `(t) = 8 / (3t + 8)² approach 2 (Product rule) f (t) = t (3t + 8)^(-a million) f ` (t) = (a million) (3t + 8)^(-a million) - (3t + 8)^(-2) (3)(t) f `(t) = (3t + 8)^(-2 )[ (3t + 8) - 3t ] f `(t) = 8 / (3t + 8)² skill rule ???