Question

Determine dy/dx das funções definidas por:
y= 3cosx - 4secx

Answer 1

y= 3cosx - 4secx

y= 3cos(x) - 4/cos(x)

dy/dx = 3 * (-sen(x)) - 4 *(cos(x))' /cos²(x)

dy/dx =-3 *sen(x) - 4 *(-sen(x)) /cos²(x)

dy/dx =-3 *sen(x) + 4 *sen(x) /cos²(x)

dy/dx =-3 *sen(x) + 4 *tan(x) * sec(x)