 In this video, we'll provide the solution to question number one for practice exam number three for math 1210 We're asked to compute the derivative of the polynomial function 3x cube minus 7x squared minus 3 and find that derivative with respect to x because this is a polynomial function We can use the linearity of the derivative Function to see so that we can actually take the derivative term by term We can also factor out coefficients as we have a polynomial function. We have to also Use the power rule when we take the derivative of monomials And so if we're looking for the derivative here, let's call this function y y prime You're going to end up with a 3 times 3x squared Minus 7 times 2x minus 0 the derivative of constant is 0 This of course simplifies very quickly to be 9x squared minus 14x and so we see the correct answer is C