Question

Derivada de f(x) = (1/sen(x)^2

Answer 1

Resposta:

f'(x) = -2cossec²x.cotg(cossecx)

Explicação passo-a-passo:

f(x) = [1/sen(x)]^2

f(x) = [cossecx]^2

f(x) = cossec²x

v = cossecx ----> v' = -cossecx.cotgx

t = v² ---> t'=2v

f'(x) = -cossecx.cotgx. (2v)

f'(x) = -2(cossecx.cossecx.cotgv)

f'(x) = -2cossec²x.cotg(cossecx)