Question

Encontre a derivada de:
f(x)= cos x - x cossec x

Answer 1

Resposta:

f(x)= cos x - x cossec x

fx =[cos(x)]' -[x*cossec(x)]'

fx =-sen(x) -[(1)*cossec(x) + x* (cossec(x))']

fx =-sen(x) -[cossec(x) + x* (1/sen(x))']

fx =-sen(x) -[cossec(x) + x* (-1*(sen(x))'/sen²(x))]

fx =-sen(x) -[cossec(x) -x*cos(x)/sen²(x)]

fx =-sen(x) -cossec(x) +x*cos(x)/sen²(x)

fx =-sen(x) -cossec(x) +x*cot(x)/sen(x)

fx =-sen(x) -cossec(x) +x*cot(x)*cossec(x)

fx =-sen(x) -cossec(x) *[1-x*cot(x)]

fx =cossec(x) * [x*cot(x)-1] - sen(x)