Calcule a Derivada

1. Calcule a Derivada: (livro: Guidorizzi, exercícios 7.11)

1. y = sen 4x

y’ = cos (u)  cos 4(4x)

y’ = 4 cos 4x

1. y = cos 5x

y’ = -sen (u)  -sen 5(5x)

y’ = -5 sen 5x

1. f(x) =

f’(x) = 3

1. f(x) = cos 8x

f’(x) = cos (u)  -sen 8(8x)

f’(x) = -8 sen (8x)

1. y = sen t³

y’ = cos (u)  cos 3t² (t³)

y’ = 3t² cos t³

1. g(t) = ln (2t + 1)

g’(t) = ln

g’(t) =

1. x =

x’ = cos t

1. f(x) = cos

f’(x) = sen

1. y = (sen x + cos x)³

y’ = 3 (cos x – sen x)²

1. y =

y’ = (3x+1)½

y’ = ½ (3)¯½

y’ =

y’ =

1. f(x) =

f’(x) =

f’(x) =

f’(x) =

f’(x) =

1. y =

y’ = -5