Necesito resolver estos problemas matematicos
Respuestas a la pregunta
Respuesta:
1 ) F(X) = Sen(3x)
F'(X) = d/dx[(Sen(3x)]
F'(X) = d/dx[(Sen(3x)]×d/dx[(3x)]
F'(X) = Cos(3x)×3×d/dx[(x)]
F'(X) = Cos(3x)×3×1
F'(X) = 3Cos(3x) ===== > Respuesta
2 ) F(X) = Cos(5x²)
F'(X) = d/dx[(Cos(5x²))]
F'(X) = d/dx[(Cos(5x²))]×d/dx[(5x²)]
F'(X) = d/dx[(Cos(5x²)]×5×d/dx[(x²)]
F'(X) = - Sen(5x²)(5×2x)
F'(X) = -10xsen(5x²) ===== > Respuesta
3 ) F(X) = 5Tan(3x-1)
F'(X) = 5×d/dx[(Tan(3x-1))]
F'(X) = 5×d/dx[Tan(3x-1)]×d/dx[(3x-1)]
F'(X) = 5×Sec²(3x-1)(3×d/dx[x]-d/dx[1])
F'(X) = 5Sec²(3x-1)×3
F'(X) = 15Sec²(3x-1) ====== > Respuesta
4 ) F(X) = Cot((3/4)x)
F'(X) = d/dx[(Cot(3/4)x)]
F'(X) = d/dx[(Cot(3/4)x)]×d/dx[(3/4)x]
F'(X) = - Csc²(3x/4)×3/4×d/dx[(x)]
F'(X) = - 3/4Csc²(3x/4)×1
F'(X) = - 3/4Csc²(3x/4) ===== > Respuesta
5 ) F(X) = Cot( 4x²-3x )
F'(X) = d/dx [( Cot( 4x²-3x )]
F'(X) = d/dx[( Cot( 4x²-3x )]×d/dx[( 4x²-3x )]
F'(X) = - Csc²( 4x²-3x )×(d/dx[(4x²)]-d/dx[(3x)])
F'(X) = - Csc²( 4x²-3x )×( 4×d/dx[(x²)]-3×d/dx[(x)])
F'(X) = - Csc²( 4x²-3x )×(4(2x)-3(1))
F'(X) = - Csc²( 4x²-3x )( 8x-3 ) ===== > Respuesta