Find the derivative of d{x^(5/3)+x^(1/2)}/dx

Steps to solve Find the derivative of d{x^(5/3)+x^(1/2)}/dx

=d{x^(5/3)+x^(1/2)}/dx

=d{x^(5/3)}/dx+d{x^(1/2)}/dx

=(5/3)x^{(5/3)-1}+(1/2)x^{(1/2)-1}

=(5/3)x^(2/3)+(1/2)x^(-1/2)

=(5/3)x^(2/3)+(1/2)(1/√x)

Hence the derivative of d{x^(5/3)+x^(1/2)}/dx is (5/3)x^(2/3)+(1/2)(1/√x)

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