Similar to how we defined the partial derivative, we can define the derivative of vec(c)(t)asvec(c)'(t)=limh0(vec(c))(t+h)-(vec(c))(t)h=limh0(x(t+h)-x(t)h,y(t+h)-y(t)h)In a similar style to the figure shown above, draw a curve, and the vectors vec(c)(t),vec(c)(t+h) and vec(c)(t+h)-vec(c)(t) for a(small) valueh>0. Use this picture to argue (within a few sentences) that vec(c)'(t)is a vector which is tangent to the curve Cat(x(t),y(t)).