If f(x) = f(x)g(x), where f and g have derivatives of all orders, show that f'' = f ''g + 2f 'g' + fg''.

Aclothing store has the sign shown in the shop window. pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. the cost of each shirt before the discount is $12, and the cost of each pair of jeans is $19 before the discount. write and simplify an expression to find the amount pani pays if a $3 discount is applied to her total

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?

Use the quadratic function to predict f(x) if x equals 8. f(x) = 25x2 − 28x + 585