Differentiate y = x^3− 5x^2 + 3x

the rule for differentiating in terms of x is to multiply by the power then decrease the power by one. So going through the equation x^3 will be multiplied by 3 and go to x^2 so will be 3x^2. Then its important to remember the signs of the terms so the next term is -5x^2 not 5x^2. this will be multiplied by 2 and the variable will go to x to give -10x. the same will happen to the last term to give 3 so the final equation is dy/dx=3x^2-10x+3.