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Please show all the work so that i can understand the process because i don\'t u

ID: 2845494 • Letter: P

Question

Please show all the work so that i can understand the process because i don't understand at all


and circle the answers please


Also, if you are kind enough to explain how each question gets to an answer, it will be GREAT!!


Thanks!!

Find the derivative for each of the following functions. Assume that a and b are constants. f(x) = pi 2 + x pi y = ax - 1/2x + 5x - e g(t) = (b/2)t + b/t2 Let f(x) = 1 + 2ex - 3x. Find the equation of the tangent line to f at x = 0. At what value(s) of x does f have a horizontal tangent line? Give exact answer, not decimal approximations please. Consider the function f(x) = 200 + 8x3 + x4. Perform a sign analysis for the first and second derivatives. One what interval(s) is the function both increasing and concave down? The population of the world, P (in billions), is modeled by the function P = 7.1(1.0014)t where t represents the number of years after the beginning of 2012. What will the population be at the beginning of 2030? Find the rate at which the population is increasing at the beginning of 2030 in people per year? In what year will the population of the world be growing at a rate of 25 million people per year? Let g(x) = x/ex. Find the first, second and third derivatives of g(x). Use the results from part (a) to find a formula for the nt derivative of g(x).

Explanation / Answer

I am going to answer your fifth question.


g(x) = x/e^x

Use the quotient rule to find g

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