Find the derivative of d{√x+1/√x+3√(x^2)}/dx

 

Steps to solve Find the derivative of d{√x+1/√x+3√(x^2)}/dx

=d{√x+1/√x+3√(x^2)}/dx

=d√x/dx+d(1/√x)/dx+d{3√(x^2)}/dx

=d√x/dx+d{x^(-1/2)}/dx+d{x^(2/3)}/dx

=1/2√x+(-1/2)x^{(-1/2)-1}-(2/3)x^{(2/3)-1}

=1/2√x-(1/2)x^(-3/2)-(2/3)x^(-1/3)

Hence the derivative of d{√x+1/√x+3√(x^2)}/dx is 1/2√x-(1/2)x^(-3/2)-(2/3)x^(-1/3)

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