Chapter 7.1, Problem 28E

Cacaulte the derivative

use differential linear equation

8. After p practice sessions, a student could perform a task in T (p) = 36(p + 1) 3 minutes. Find T'(7) and interpret your answer.

Can you help me find the derivatives of this problem.

Solve y" + (y')² = 0. 0.

Find the normalizing constant c so that ce-x14 dx = 1. -0- c =

7  solve for the first derivative of the following function

2. From 2007 to 2014, there was a dramatic increase of smartphone sales. The number of smartphones (in millions) sold to end users from 2007 to 2014 is modeled by the function c(t) = 114.9e0.345t, where t represents the number of years after 2007. a. Find c'(t) b. Find c'(2), and write a sentence interpreting the meaning. Be sure to include units.

10. A new fashion trend is catching on at a high school. Five students came to school after the holidays wearing new Palioxis-brand sneakers, and 6 months later, 36 total students were wearing Palioxis sneakers. In the equation y = 5(r'), y is the number of students wearing the sneakers after time t in years. Find r, and write an equation to estimate the number of students in Palioxis sneakers after t years. %3D