What is the derivative of 8x^3/2-12x^-1/2?

Answer is 8/15(5x-2)^3/2. Not sure how they got the answer. Please help.





Derivative of 8x^3/2 - 12x^(-1/2)

 

              8(3/2)x^((3/2)-1)      12(-1/2)x^((-1/2)-1)

              _________________   -  _____________________

                 (3/2)-1                 (-1/2)-1





               12x^(1/2)           -6x^(-3/2)

              ___________     -   ___________

                (1/2)               (-3/2)



                

                 24x^1/2 -  4x^(-3/2)

                  

                

                 24x^1/2 -  4/x^(3/2)





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