Differentiate the function?

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Differentiate the function u= 5root(t^2) + 10(sqrt(t^5))

2007-05-13 15:54:30 · 2 answers · asked by miss-whatever1225 1 in Science & Mathematics ➔ Mathematics

As you have presented the question:-
u = 5.√(t²) + 10.t^(5/2)
u = t + 10.t^(5/2)
du/dt = 1 + 25.t^(3/2)

2007-05-14 04:44:11 · answer #1 · answered by Como 7 · 0⤊ 0⤋

Use power laws to rewrite u as
u = t^(2/5) + 10 t^(5/2)
=> du/dt = (2/5)t^(-3/5) + 25 t^(3/2).

2007-05-13 16:07:07 · answer #2 · answered by Scarlet Manuka 7 · 0⤊ 0⤋