Differentiation

[Cannon]

any 1 know how to do this

x=2t+t , y= 5t+sint

Find dy/dx

[DaveD]

x=2t+t , y= 5t+sint

differentiate x and y wrt to t and use the chain rule

dx/dt = 2+2t
dy/dt = 15t+cost

By the chain rule
dy/dx = dy/dt ÷ dx/dt

= (15t+cost) / (2+2t)