the equation V=U^5=7sqrtW-WZ relates the variables, V,U,W,Z. differentiate with respect to T to get the wquation which relates the rates of change with respect to T?

v = u^5

v = 7sqrt(w) - wz

dv/dt = 5u^4 du/dt = 7/(2sqrt(w)) dw/dt - (w dz/dt + z dw/dt)