Question: Given f(x) = 3x2 2x + 1, we wish to compute f'(2) using the definition f'(a) = lim h0 Notice this is an indeterminate

Given f(x) = 3x2 2x + 1, we wish to compute f'(2)

Given f(x) = 3x2 2x + 1, we wish to compute f'(2) using the definition f'(a) = lim h0 Notice this is an indeterminate of the form f(2+h)- f(2) (a) Simplify h FORMATTING: The answer must be a polynomial in h in its simplest form. f(2+h)-f(2) h (b) Compute f'(2) = lim h0 = f(a+h)-f(a) h

Step by Step Solution

★★★★★

3.49 Rating (152 Votes )

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!

Ikan Lumba Ltd s financial year under consideration was from 0 1 October 2 0 0 5 to 3 0 September 2 0 0 6 . The Allowance for Doubtful Debts of Ikan Lumba Ltd on 0 1 October 2 0 0 5 was $ 7 , 0 0 0...

1) describe, the difficulty with using the term "victimless crime" to describe some some behaviours. 2) Describe and differentiate between the three below terms: 1. Criminalization 2....

New Jersey v. T.L.O., 469 U.S. 325 (1985) The presentation Point presentation will need to include: Name the case Discuss the facts of the case Discuss the history of the case (what laws or legal...

Consider the system from Problem and input u. Fix t = 1.5 and draw h(1.5-7) and u(7) versus 7 [0, 1.5]. Also sketch the product and note that area under the product is equal to hu when t = 1.5. All...

5. Evaluate the following definite integral S, (2x + Vx + 1)dx. e. 68 NI- 3 b. c. 2 d. a. 6. Find the area bounded by the curve f(x) = -x2 - 3x + 2 and the straight line g (x) =-2x. e. 11 6 b. NIOT a...

Q5. (9 marks) For the following series, find the radius of convergence R and the interval of convergence I. (3x - 2) (a) M ngn n=1 (b ) n=2 n! (In n)?' (c) E, n=1 Q6. (8 marks) In the following...

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...

if f (x) = In (2x + 1) So the 4th derivative is f ( 4 ) ( I ) = here is y = 202-2x . 323 -3x2 .74x+4 Apply the In function to both sides, then simplify with the help of the laws of logarithms. a) For...

4. Which of the following statements is correct? a. The derivative of a product is the product of the derivatives. b. The derivative of a quotient is the quotient of the derivatives. c. The...

Given the following data for the following half-reactions and E degree (V vs. NHE):

Sandhill paid a local company to perform some work on one of the company's forklifts (F1). The itemized invoice for the work showed charges of $750 for re-aligning the wheels, $240 for an oil change,...

describe the region in space defined by the inequalities x 0 , y 0 , z 0

Essex Industries is considering the acquisition of Twinsburg Company in a stock-for-stock exchange. The following financial data is available on both companies. (Assume no synergy is expected with...

What is the difference between natural selection and artificial selection?

What is the difference between crime and tort?

Critically discuss and analyse a) factors suggesting that, over time, the US dollar may be of risk of surrendering its position as the world's global reserve currency and b) whether chinese Yuan can...

For each of the following functions locate singularities in the finite z-plane. (a) sin-(1/z) (b) z(z2 + 1) 2+3 (c) (d) csc(1/z?) 22-1 z2 +1 (e) z3/2

In 2 0 2 5 what is the maximum lifetime learning credit $ 2 0 0 0 per return, 2 0 0 0 student, 2 5 0 0 or 2 5 0 0

Nexium is a drug that can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reux. The manufacturer of Nexium claims that more than 94% of patients taking...

Assume that the random variable X is normally distributed, with mean = 50 and standard deviation = 7. Compute the following probabilities. Be sure to draw a normal curve with the area corresponding...

An educator wants to determine whether a new curriculum signicantly improves standardized test scores for third grade students. She randomly divides 80 third-graders into two groups. Group 1 is...

Suppose that X is normally distributed with mean p and variance 400, and you want to test Ho'.p = 50 against Hi'.p = 0>Q. If a .10 and N 4, find the critical value of M and compute /?. Now suppose...

For the test in Exercise 16, (a) draw the power curve (b) draw the operating characteristic curve (c) draw the error curve. Do the same for the test in Exercise 17. Explain the relationship among the...

Suppose that you are interested in X, the gasoline mileage (in miles per gallon) of a particular brand of gasoline. You decide to test H0:n = 20 against Hii/x 20. Assuming that X is normally...