Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Calculus Differentiability

z=f(x,y), x=g(t) and y=h(t), then z is a differentiable function of t and

1
dz/dt= df/dx dx/dt + df/dy dy/dt
2
dz/dt= df/dx dy/dt + df/dy dy/dt
3
dz/dt= df/dx dx/dt + df/dy dx/dt
4
dz/dt= df/dx dx/dt + dx/dt dy/dt
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