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Could someone double-check my answers to these derivative problems?
-- f(x) = e^(x^3 + 2)
= 3x^2 e^(x^3 + 2)
-- f(x) = (e^-4x)/(x^3 + 7)
= e^-4x [(-4x^3 - 3x^2 - 28)/(x^3 + 7)^2]
-- f(x) = x^3 ln x
= 3x^2 ln(x) + x^2
-- f(x) = (ln^3 sqrt(x^2))/(x^3)
= (ln)3
-- f(x) = (^7 sqrt(x+8))/(5-6x)^8)
= [(x+8)/(5-6x)^8)] [(1/7) (1/x+8) + (48/5-6x)]
Thanks in advance for any help.
-- f(x) = e^(x^3 + 2)
= 3x^2 e^(x^3 + 2)
-- f(x) = (e^-4x)/(x^3 + 7)
= e^-4x [(-4x^3 - 3x^2 - 28)/(x^3 + 7)^2]
-- f(x) = x^3 ln x
= 3x^2 ln(x) + x^2
-- f(x) = (ln^3 sqrt(x^2))/(x^3)
= (ln)3
-- f(x) = (^7 sqrt(x+8))/(5-6x)^8)
= [(x+8)/(5-6x)^8)] [(1/7) (1/x+8) + (48/5-6x)]
Thanks in advance for any help.