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Inténtalo
Cálculo Derivada de Funciones Compuestas
  • 1. Sea f(x)= (x2-6x+1)1/2. Calcular la derivada de f(x).
A) f´(x)=(x-3)/(x2-6x+1)3/2
B) f´(x)=(x-3)/(x2-6x+1)1/2
C) f´(x)=(x-3)(x2-6x+1)1/2
D) f´(x)=(x-3)(x2-6x+1)3/2
  • 2. Sea f(x)= (9x5+3x2-8)1/2. Calcular la derivada de f(x).
A) f´(x)=(45x4+6x)/(2(9x5+3x2-8))3/2
B) f´(x)=(45x4+6x)(2(9x5+3x2-8))1/2
C) f´(x)=(3/2x)(15x3+6)/(9x5+3x2-8)1/2
D) f´(x)=(3/2x)(15x3+6)/(9x5+3x2-8)5/2
  • 3. Sea f(x)= (x3-5)6. Calcular la derivada de f(x).
A) f´(x)=6x2(x3-5)5
B) f´(x)=x2(x3-5)7
C) f´(x)=3x2(x3-5)5
D) f´(x)=18x2(x3-5)5
  • 4. Sea f(x)= (-4x2-3x+11)13/7. Calcular la derivada de f(x).
A) f´(x)=(13/7)/(-8x-3)(-4x2-3x+11)12/7
B) f´(x)=-(13/7)(8x+3)(-4x2-3x+11)6/7
C) f´(x)=(13/7)(-8x-3)(-4x2-3x+11)12/7
D) f´(x)=(13/7)(8x+3)/(4x2+3x-11)6/7
  • 5. Sea f(x)= (1/3x8-7x5+6x)1/3. Calcular la derivada de f(x).
A) f´(x)=-(24x7-35x4+6)(3(3x8-7x5+6x))2/3
B) f´(x)=-(1/3)(24x7-35x4+6)/(3x8-7x5+6x)4/3
C) f´(x)=(24x7-35x4+6)/(3(3x8-7x5+6x))5/3
D) f´(x)=(1/3)(24x7-35x4+6)/(3x8-7x5+6x)1/2
  • 6. Sea f(x)=(2x11+8x7-15x)3/5 . Calcular la derivada de f(x).
A) f´(x)=(56x6-13)/(8x7-13x)2/5
B) f´(x)=(3/5)(56x6-13)/(8x7-13x)
C) f´(x)=(5/3)(56x6-13)/(8x7-13x)5/2
D) f´(x)=(3/5)(56x6-13)/(8x7-13x)2/5
  • 7. Sea f(x)= (x5/6+x3/9+x-10)8. Calcular la derivada de f(x).
A) f´(x)=8(5/6x4+1/3x2+1)(1/6x5+1/9x3+x-10)6
B) f´(x)=(5/6x4+1/3x2+1)(1/6x5+1/9x3+x-10)6
C) f´(x)=8(5/6x4+1/3x2+1)(1/6x5+1/9x3+x-10)7
D) f´(x)=(5/6x4+1/3x2+1)(1/6x5+1/9x3+x-10)7
  • 8. Sea f(x)= sen2(x3) . Calcular la derivada de f(x).
A) f´(x)=6x2sin(x3)cos(x3)
B) f´(x)=6x2sin(2x2)cos(2x2)
C) f´(x)=3x2sin(2x3)cos(2x3)
D) f´(x)=3x2sin(x2)cos(x2)
  • 9. Sea f(x)= Tan(cos(x2)). Calcular la derivada de f(x).
A) f´(x)= xsen(x2)sec2[cos(x2)]
B) f´(x)=- 2sen(x2)sec2[cos(x2)]
C) f´(x)= - 2xsen(x2)sec2[cos(x2)]
D) f´(x)=- 2xsen(2x)sec2[cos(2x)]
  • 10. Sea f(x)= sec(7x3). Calcular la derivada de f(x).
A) f´(x)= - x2sec(7x3)tan(7x3
B) f´(x)=21x2sec(7x3)tan(7x3)
C) f´(x)= - 21sec(21x2)tan(21x2)
D) f´(x)= 21x2sec(21x2)tan(21x2
Otros exámenes de interés :
Trigonometría Teoremas del Seno y Coseno
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