Find the derivative of d{(1/2)x^(1/2)+(1/3)x^(1/3)}/dx
October 06, 2021
Steps to solve the derivative of d{(1/2)x^(1/2)+(1/3)x^(1/3)}/dx
=d{(1/2)x^(1/2)+(1/3)x^(1/3)}
=d{(1/2)x^(1/2)}/dx+d{(1/3)x^(1/3)}/dx
=(1/2)(1/√x)+(1/3)(1/3)x^{(1/3)-1}
=(1/2)(1/√x)+(1/9)x^(2/3)
=(1/2√x)+{x^(2/3)/9}
Hence the derivative of d{(1/2)x^(1/2)+(1/3)x^(1/3)}/dx is (1/2√x)+{x^(2/3)/9}
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