13 calculo de derivadas(1)
DESCRIPTION
Calculo de derivadasTRANSCRIPT
Cálculo de derivadas (1) __________________ Aplica las fórmulas elementales de derivación para calcular las derivadas de las funciones siguientes:
1) f (x) = 4x3 − 2x2 + 3x −10 2) f (x) = 2 ⋅senx − 3 ⋅ cos x + 4
3) f (x) = 3 ⋅ tanx − 4 ⋅sec x 4) f (x) = 2 ⋅ cotanx + 3 ⋅ cosec x
5) f (x) = 2
x3 6)
f (x) = 4
x3− 3
x2+ 2
x+1
7) f (x) = 2 ⋅ x + 5 8) f (x) = x23 − 4 ⋅ x3 + 5
9)
f (x) = 3
x43+ 3
x23+10 10)
f (x) = 1
3x2+ 2 ⋅ x − 1
2 ⋅ x3
11) f (x) = 2 ⋅ex + 3 12) f (x) = 1
2⋅ lnx + 3
13) f (x) = 1 + lnx2 14) f (x) = x + ln x
2
15) f (x) = (x + 2) ⋅(x − 4) 16) f (x) = (x2 + 2) ⋅(x2 +1)
17) f (x) = (x3 −1) ⋅(x3 +1) 18) f (x) = x + 4( ) ⋅ x3 − 5( )
19) f (x) = x2 ⋅ cos x 20) f (x) = x2 ⋅ tanx − 2x + 5
21) f (x) = (2x + senx) ⋅(x2 + 4) 22) f (x) = x4 ⋅(2senx − 3cos x)
23) f (x) = (x + senx) ⋅(4 + cos x) 24) f (x) = (sec x + tanx) ⋅(senx + cos x)
25) f (x) = x2 ⋅ex 26) f (x) = ex ⋅ lnx
27) f (x) = ex ⋅ cos x 28) f (x) = (1 − lnx) ⋅(2 + 3 ⋅ lnx)
29) f (x) = x2 +1
x2 + 5 30)
f (x) = 2x − 3
x2 − 3x + 2
31) f (x) = 2x2 + x −1
3x + 2 32)
f (x) = x
x +1
33)
f (x) = 2x +1
1 − x 34)
f (x) = x +1
3 x3 + 2
35) f (x) = 1 + senx
1 − senx 36)
f (x) = senx + cos x
senx − cos x
37) f (x) = 1 + tanx
1 − tanx 38)
f (x) = x2 senx
1 + x2
39) f (x) = 2 + 3 ⋅ lnx
1 − 4 ⋅ lnx 40)
f (x) = x2 ⋅ex
1 + ex