exam Maths Puzzle Numerical Ability

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.

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exam Other Question

New Problem, Factor:


4 t2 + 20 t + 25
(~A -> ~C)
~(B . ~C)
(~B -> (T v S)) /:.(~T -> (~S -> A))