# derivative

### Determine whether the statement is true or false. If y = e^2, then y’ = 2e

Determine whether the statement is true or false. If y = e^2, then y’ = 2e e^2 is a constant, and the derivative of a constant is 0. So y' = 0...
Thread by: math_celebrity, Jun 12, 2020, 0 replies, in forum: Calculator Requests

### The function f(x) = x^3 - 48x has a local minimum at x = and a local maximum at x = ?

The function f(x) = x^3 - 48x has a local minimum at x = and a local maximum at x = ? f'(x) = 3x^2 - 48 Set this equal to 0: 3x^2 - 48 = 0 Add...
Thread by: math_celebrity, May 28, 2020, 0 replies, in forum: Calculator Requests

### The function f(x) = e^x(x - 3) has a critical point at x =

The function f(x) = e^x(x - 3) has a critical point at x = The critical point is where the derivative equals 0. We multiply through for f(x) to...
Thread by: math_celebrity, May 28, 2020, 0 replies, in forum: Calculator Requests

### The height of an object t seconds after it is dropped from a height of 300 meters is s(t)=-4.9t^2 +3

The height of an object t seconds after it is dropped from a height of 300 meters is s(t)=-4.9t^2 +300. Find the average velocity of the object...
Thread by: math_celebrity, May 5, 2019, 0 replies, in forum: Calculator Requests

### The function P(x) = -30x^2 + 360x + 785 models the profit, P(x), earned by a theatre owner on the ba

The function P(x) = -30x^2 + 360x + 785 models the profit, P(x), earned by a theatre owner on the basis of a ticket price, x. Both the profit and...
Thread by: math_celebrity, Mar 6, 2017, 0 replies, in forum: Calculator Requests