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(e^((5*x)^2))'The calculation above is a derivative of the function f (x)

e^((5*x)^2)*(((5*x)^2)'*ln(e)+((5*x)^2*(e)')/e)

e^((5*x)^2)*(((5*x)^2)'*ln(e)+((5*x)^2*0)/e)

e^((5*x)^2)*(2*(5*x)^(2-1)*(5*x)'*ln(e)+((5*x)^2*0)/e)

e^((5*x)^2)*(2*(5*x)^(2-1)*((5)'*x+5*(x)')*ln(e)+((5*x)^2*0)/e)

e^((5*x)^2)*(2*(5*x)^(2-1)*(0*x+5*(x)')*ln(e)+((5*x)^2*0)/e)

e^((5*x)^2)*(2*(5*x)^(2-1)*(0*x+5*1)*ln(e)+((5*x)^2*0)/e)

e^((5*x)^2)*(2*(5*x)^(2-1)*5*ln(e)+((5*x)^2*0)/e)

e^((5*x)^2)*(50*x*ln(e)+((5*x)^2*0)/e)

e^(2*(5*x)^(2-1)*(5*x)')

e^(2*(5*x)^(2-1)*((5)'*x+5*(x)'))

e^(2*(5*x)^(2-1)*(0*x+5*(x)'))

e^(2*(5*x)^(2-1)*(0*x+5*1))

e^(2*(5*x)^(2-1)*5)

0^((5*x)^2)

50*x*e^(25*x^2)

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