Question

$Derivada f(x)=tg( \sqrt[8]{x} - \sqrt[5]{x} )$

Answer 1

Vamos lá:

f(x) = tg[(x^(1/8)) - (x^1/5)] 

Faça u = [(x^(1/8)) - (x^1/5)] 

f(x) = tg(u(x))

tg'(u) = sec²(u).u'(x) = sec²(u).[(x^(1/8)) - (x^1/5)]'

tg'(u) = sec²(u).[1/8.x^(-7/8) - 1/5.x^(-4/5)]

tg'(u) = sec²[(x^(1/8)) - (x^1/5)].[(1/8)/x^(7/8) - (1/5)/x^(4/5)] 

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14/10/2016
Sepauto 
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