Derivative of sin(x^2)4x

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Derivative of sin(x^2)4x:


(x*(sin(x^2))^4)'

(x)'*(sin(x^2))^4+x*((sin(x^2))^4)'

1*(sin(x^2))^4+x*((sin(x^2))^4)'

1*(sin(x^2))^4+x*4*(sin(x^2))^(4-1)*(sin(x^2))'

1*(sin(x^2))^4+x*4*(sin(x^2))^(4-1)*cos(x^2)*(x^2)'

1*(sin(x^2))^4+x*4*(sin(x^2))^(4-1)*2*x^(2-1)*cos(x^2)

1*(sin(x^2))^4+x*4*(sin(x^2))^(4-1)*2*x*cos(x^2)

1*(sin(x^2))^4+x*8*x*(sin(x^2))^3*cos(x^2)

(sin(x^2))^4+8*x^2*(sin(x^2))^3*cos(x^2)

The calculation above is a derivative of the function f (x)

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