Differentiate and integrate

• differentiate ln(x) = 1/x
• Differentiate sinx = cosx
• Differentiate cosx = -sinx
• Differentiate e^kx = ke^kx
• Differentiate e^x = e^x
• Integrate sinx = -cosx + c
• Integrate cosx = sinx + c
• Integrate e^x = e^x + c
• Integrate e^kx = (1/k)e^kx + c
• Integrate 1/x = ln(x)+c