What is the derivative of $sin(x^2 -2)^3$ ?

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Answer 1 · 2016-03-29T21:50:11

$d/dxsin(x^2-2)^3=6x(x^2-2)^2cos(x^2-2)^3$ .

By using the power rule in conjunction with other rules we get

$d/dxsin(x^2-2)^3=cos(x^2-2)^3*3(x^2-2)^2*2x$

$=6x(x^2-2)^2cos(x^2-2)^3$ .

What is the derivative of sin(x^2 -2)^3sin(x^2 -2)^3?