Question: 1. Use the limits definition f' ( x ) = limf(xth)-f(x) to find an expression for the derivative to the functions; h-0 h a. f(x)

1. Use the limits definition f' ( x ) = limf(xth)-f(x) to find an expression for the derivative to the functions; h-0 h a. f(x) = 7x b. f ( x ) = S c. f(x) = -20x3 2. a. Use the limits definition f'( x = lim f(xth)-f(x) h-0 h to find an expression for the derivative to the function y = 2X3. b. Using your answer to a) find the slope of the tangent to the curve y = 3x to complete the following table. X Slope of tangent (m = y') -3 -2 -1 O N 3

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!

1. Use the limits definition f' ( x ) = lim (x+h)-f(x) h-0 h to find an expression for the derivative to the functions; a. f(x) = 7x b. f(x) = c. f(x) = - 20x3 2. a. Use the limits definition f* ( x...

3. a. After looking closely at the problems and solutions presented in this activity, describe the patterns that you see emerge as you find the derivatives of simple functions like y = x2, y = x3,...

Solve these using spreadsheet approximation 1. Use the limits definition f ac lim f(x h) f(2) to show that the derivative to h 0 h the curve f (x) = 7% is f'(x) = In7-(7x). 2. Given f (x) = ex,...

How would you solve these? 1. Use the limits definition lim f( xth ) - f(x ) to find an expression for the derivative to the functions; h-+0 h a. f(x) = 3x b. f (x ) = 3 / x c. f (x) = 3x2 2. a. Use...

How would you solve this 1. Use the limits definition lim f(xth) - f(x). to find an expression for the derivative to the functions; h - h a. f(x) = 3x b. f (x) = 3/ x c. f(x) = 3x2 2. a. Use the...

Please answer the following questions in full: 1. Use the limits definition lim f(xth) - f(x) to find an expression for the derivative to the functions; a. f (X) = 3x b. f (x) = 3/ x c. f (X) = 3x22....

1. Use the limits definition = lim f(ath)-f(x) h-0 h to find an expression for the derivative to the functions; a. f(X) = 3x b. f ( x ) = S c. f (X) = 3x2 2. a. Use the limits definition f' (ac ) =...

Question 1 A car moved distance S meters in a time t seconds according to the formula S 3t 2t 4t 1 Determine 1 1 velocity at i t 0 ii t 1 5s 1 2 Acceleration at i t 0 ii t 1 5s Question 2 Let f x x...

please show all work Test 1(Show all work) 1. Use the graph of f at right to evaluate the following limits. a. lim f (x) b. limf (x) c. lim f (x) x - 2 2. If a function fis continuous at x = a (i.e.,...

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

Which of the following statements regarding financial reports is correct? Select one: a. A balance sheet contains assets, liabilities, and stockholders' equity information. b. A statement of...

1. What financial risks is Vicky assuming? 2. What are the risks that are specific to renting motor scooters? 3. What are the risks specific to motor scooters, as physical assets? 4. What risks will...

Which of the following characteristic of subprime mortgage lending? Group of answer choices Target historically underserved low - income, minority neighborhoods Loans typically feature high loan...

Lerato, a fifteen-year-old girl, marries Thabang, a seventeen-year-old boy, on 30 June 2022. They both attain majority as a result of having concluded this valid marriage. Lerato discovers that...

10. Imagine that the goal has been reached. Now think about the path you have to take to reach the goal. How did you influence other people to achieve your goal? Imagine walking along the path you...

2. How do I perform this role?

6. List one and only one societal role that you wish you had performed better in. Spend the next month on a small push to improve your personal performance within this role. At the end of the month,...