Question: Given the function f ( x ) = 2x^2 + 3x + 1, a. Find the instantaneous rate of change when x = 1 .

Given the function f ( x ) = 2x^2 + 3x + 1,

a. Find the instantaneous rate of change when x = 1 .

b. Find the value of the derivative when x = 1 .

c. What did you notice?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

9. [-/1.5 Points] DETAILS MY NOTES AUFCAT7 2.4.026. Use the vertex formula to determine the vertex of the graph of the function. A(x ) = 3x2 - 10x +2 ( x, y) = ( Write the function in standard form....

Q:

Please show steps for everything 1. Given the function, f (x) = 4x2 5x + 1, find the average rate of change over the following intervals. aJZSxS4 b)2x2.5 c)2xSZ.01 2. At the latest release for the...

Q:

Question 1: 5. Given the function f (x) = 2x2 - x and f' (x) = 4x - 1 a. Write the equation of the tangent line to f (x) at x = 2.1. Use the graph of the function f (x) shown to the right to...

Q:

Tangent Line and Applying Derivative of a function l'lvvuuu 1 11) What is the slope of the line that touches a curve at one point? A. Derivative B. Limit ' C. Normal D. Tangent - 12) What tells the...

Q:

Tangent Line and Applying Derivative of a function l'lvvuuu 1 11) What is the slope of the line that touches a curve at one point? A. Derivative B. Limit ' C. Normal D. Tangent - 12) What tells the...

Q:

Answers are on the 4th picture Find functions f(x) and g(x) so the given function can be expressed as h(x) = f(8(x)). 22. h (x ) = (x+ 2) 23. h (x) =- 4 (x + 2)? 24. h (x) =3+Vx-2 25. Given the...

Q:

After finding the answers, explain how and why you got there. All three of these questions are separate. 7. Find the average rate of change of the function f (x) = 5x2 - 3x + 1 over the closed...

Q:

ECON 447: Economics of Sports Homework Assignment 1 To receive full credit, you must show your work. This homework is due on Wednesday, September 6th at 11:59pm in Canvas. Problem 1: Math Review....

Q:

Problem 1: Math Review. Consider the function f (x) = 2x2 + 16x 10. a) Find the value of f (x) at the following points: x = 1, x = 3, x = 5, x = 7. b) Write down the first order condition, f (x) = 0....

Q:

It's a two step question I need it to be answer Question 9 of 22 Step 1 of 2 Consider the function f (x) = 2x2 - 9x + 1. Step 1 of 2: Interpret the meaning of f(- 5) = 96. Answer 2 Points O The...

Q:

P3: Determine the magnitude of the axial forces in the given truss below. Use method of joints and check your answer by solving for the magnitude of the axial forces of DF. FC and CE using Method of...

Q:

Ann Chovies, owner of the Perfect Pasta Pizza Parlor, uses 20 pounds of pepperoni each day in preparing pizzas. Order costs for pepperoni are $10.00 per order, and carrying costs are 4 cents per...

Q:

In pairs, discuss these views. Which, if any, do you agree with?

Q:

James Lighting manufactures switches that it uses in several of its products. Management is considering whether to continue manufacturing the switches or to buy them from an outside source. The...