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(e^(-4*sin(2*x)))'The calculation above is a derivative of the function f (x)
e^(-4*sin(2*x))*((-4*sin(2*x))'*ln(e)+(-4*sin(2*x)*(e)')/e)
e^(-4*sin(2*x))*((-4*sin(2*x))'*ln(e)+(-4*sin(2*x)*0)/e)
e^(-4*sin(2*x))*(((-4)'*sin(2*x)-4*(sin(2*x))')*ln(e)+(-4*sin(2*x)*0)/e)
e^(-4*sin(2*x))*((0*sin(2*x)-4*(sin(2*x))')*ln(e)+(-4*sin(2*x)*0)/e)
e^(-4*sin(2*x))*((0*sin(2*x)-4*cos(2*x)*(2*x)')*ln(e)+(-4*sin(2*x)*0)/e)
e^(-4*sin(2*x))*((0*sin(2*x)-4*cos(2*x)*((2)'*x+2*(x)'))*ln(e)+(-4*sin(2*x)*0)/e)
e^(-4*sin(2*x))*((0*sin(2*x)-4*cos(2*x)*(0*x+2*(x)'))*ln(e)+(-4*sin(2*x)*0)/e)
e^(-4*sin(2*x))*((0*sin(2*x)-4*cos(2*x)*(0*x+2*1))*ln(e)+(-4*sin(2*x)*0)/e)
e^(-4*sin(2*x))*((0*sin(2*x)-4*2*cos(2*x))*ln(e)+(-4*sin(2*x)*0)/e)
e^(-4*sin(2*x))*((-4*sin(2*x)*0)/e-8*cos(2*x)*ln(e))
e^((-4)'*sin(2*x)-4*(sin(2*x))')
e^(0*sin(2*x)-4*(sin(2*x))')
e^(0*sin(2*x)-4*cos(2*x)*(2*x)')
e^(0*sin(2*x)-4*cos(2*x)*((2)'*x+2*(x)'))
e^(0*sin(2*x)-4*cos(2*x)*(0*x+2*(x)'))
e^(0*sin(2*x)-4*cos(2*x)*(0*x+2*1))
e^(0*sin(2*x)-4*2*cos(2*x))
0^(-4*sin(2*x))
-8*e^(-4*sin(2*x))*cos(2*x)
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