What is the derivative of $tan 2x^3$ ?

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Answer 1 · 2016-02-14T20:25:28

$6x^2sec^2(2x^3)$

differentiate using the $color(blue)(" chain rule")$

$d/dx(f(g(x)) = f'g(x).g'(x)$

$d/dx[tan(2x^3)] = sec^2(2x^3) d/dx(2x^3) =sec^2(2x^3).6x^2$

What is the derivative of tan 2x^3tan 2x^3?