Determine a derivada das funções abaixo. 1) f (x )=(sec x+tg x) ( sec x−tg x) 2) f (x )=(sen x+cos x )sec x 3) f (x )=x2 cotg x− 1 / x2 4) f (x )=(...
Determine a derivada das funções abaixo.
1) f (x )=(sec x+tg x) ( sec x−tg x)
2) f (x )=(sen x+cos x )sec x
3) f (x )=x2 cotg x− 1 / x2
4) f (x )=(1+cossec x)cos x
5) f (x )=(sec x )(cossec x )
6) f (x )=(1+sec x )sen x
7) f (x )= cotg x / 1+cotg x
8) f (x )= cos x / 1+sen x
9) f (x )= 1+cossec x / 1−cossec x
10) f (x )= sen x / 1−cos x
11) f (x )= sen x+cos x / cos x
12) f (x )= tg x / 1+ tg x
1) f (x )=(sec x+tg x) ( sec x−tg x)
2) f (x )=(sen x+cos x )sec x
3) f (x )=x2 cotg x− 1 / x2
4) f (x )=(1+cossec x)cos x
5) f (x )=(sec x )(cossec x )
6) f (x )=(1+sec x )sen x
7) f (x )= cotg x / 1+cotg x
8) f (x )= cos x / 1+sen x
9) f (x )= 1+cossec x / 1−cossec x
10) f (x )= sen x / 1−cos x
11) f (x )= sen x+cos x / cos x
12) f (x )= tg x / 1+ tg x
💡 1 Resposta
Ed 
1) f'(x) = 2sec^2(x)(sec(x) - tg(x)) 2) f'(x) = sec(x)(cos(x) - sen(x)tan(x)) 3) f'(x) = -x^(-2)sin(x) - 2x^(-3)cotg(x) + 2x^(-3) 4) f'(x) = -cos(x)cossec(x)^2 5) f'(x) = sec(x)cossec(x)^2 6) f'(x) = cos(x)sec(x)^2 + sen(x)sec(x) 7) f'(x) = -cosec(x)^2/(1+cotg(x))^2 8) f'(x) = -sen(x)/(1+sen(x))^2 9) f'(x) = 2cossec(x)/(1-cossec(x))^2 10) f'(x) = (1+cos(x))/(1-cos(x))^2 11) f'(x) = (cos(x) - sen(x))/cos(x)^2 12) f'(x) = 1/(1+tg(x))^2
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