Question

f(X)=(-x cuadrado+4x+5)(4xala cuarta-3) derivar

Answer 1

F(X)=(-x cuadrado+4x+5)(4x ala cuarta-3) derivar

F(X) = (- x² + 4x + 5) (4x⁴ - 3)
F(X) = (4x⁴ - 3) (- x² + 4x + 5)
F(X) = [4x⁴ (- x²) + 4x⁴ (4x) + 4x⁴ (5) - 3 (- x²) - 3 (4x) - 3 (5)]
F(X) = [- 4x⁶ + 16x⁵ + 20x⁴ + 3x² - 12x - 15]
F(X) = - 4x⁶ + 16x⁵ + 20x⁴ + 3x² - 12x - 15

F´(X) = d/dx (- 4x⁶) + d/dx (16x⁵) + d/dx (20x⁴) + d/dx (3x²) - d/dx (12x) - d/dx (15)

F´(X) = - 4 d/dx (x⁶) + 16 d/dx (x⁵) + 20 d/dx (x⁴) + 3 d/dx (x²) - 12 d/dx (x) - 15 d/dx

F´(X) = 6 (- 4)x⁶⁻¹ + 5 (16)x⁵⁻¹ + 4 (20)x⁴⁻¹ + 2 (3)x²⁻¹ - 1 (12)x¹⁻¹ - 0

F´(X) = - 24x⁵ + 80x⁴ + 80x³ + 6x - 12

RESPUESTA: 
F´(X) = - 24x⁵ + 80x⁴ + 80x³ + 6x - 12