Did/does anyone else feel like this?

My daughter is nearly 4 months old and i love her to bits. However, sometimes I just want to scream and scream at her, and get so irritated. Im tired all the time and snappy and short tempered. I feel there is nothing I can do to calm her sometimes and that she doesn't particuarly like me. She cries if shes down so I pick her up, and she cries more. Shouldn't a mum be able to comfort her baby when its upset? I feel like Im letting her down somehow and useless at being a mum. I had such high hopes for myself and now feel Im rubbish at it. Has anyone else ever felt like this?