We begin by finding the derivative of f(x) = exg(x). Since this is a product, we use the Product Rule, which states d dx [f(x)g(x)] = f '(x)g(x) + f(x)g'(x).If h(2) = 7 and h'(2) = −2, find d dx h(x) x x = 2.

An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. what is the probability you will roll a brown on your next toss of the die? express your answer as a simplified fraction or a decimal rounded to four decimal places.

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

Miguel’s teacher asks him to color 4/8 of his grid. he must use 3 colors: red, blue, and green. there must be more green sections than red sections. how can miguel color all the sections of his grid to follow all the rules