Differentiate x^2+4x+9.

To differentiate you must look at each term separately. So for x^2 to differentiate we bring the two down to multiply in front of the x and then take one away from the power leaving 2x. For 4x, x is to the power of one so we bring the one down and take one away from the power. This makes 4x^0 and anything to the power of 0 (in this case it's x which is to the power of 0) makes 1. So the second term is 4*1=4. For the third term there is no x so to differentiate we get rid of it completely so the final answer is 2x+4.