Find the second-order accurate finite difference approximation of the first derivative of the velocity component (u) in the x-direction using the Taylor series expansion. (Note: i and j are in the x and y-direction respectively).

• A. ( frac{u_{i,j+1}-u_{i,j-1}}{ Delta x} )
• B. ( frac{u_{i+1,j}-u_{i-1,j}}{ Delta x} )
• C. ( frac{u_{i+1,j}-u_{i-1,j}}{2 Delta x} )
• D. ( frac{u_{i,j+1}-u_{i,j-1}}{2 Delta x} )