How do you find the derivative of $y=e^(2x^3)$ ?

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Answer 1 · 2016-10-12T07:12:51

$(dy)/(dx)=6x^2e^(2x^3)$

Use the chain rule: $(dy)/(dx)=(dy)/(du)*(du)/(dx)$

$y=e^(2x^3),$ let $u=2x^3$

$(dy)/(du)=e^u=e^(2x^3), (du)/(dx)=6x^2$

So $(dy)/(dx)=e^(2x^3)*6x^2=6x^2e^(2x^3)$

How do you find the derivative of y=e^(2x^3)y=e^(2x^3)?