Question: (1 point) Let f(x) = 3x + 4. If h # 0, then the difference quotient can be simplified as f ( x + h)

(1 point) Let f(x) = 3x + 4. If h # 0, then the difference quotient can be simplified as f ( x + h) - f(x) A = h VBx + Ch+ vx where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = B = ,and C= Use your answer from above to find f (x) = lim f ( x + h) - f(x) h-0 h Finally, find each of the following: f' (1) = , f' ( 2 ) = , and f' (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!

4. (1 point) Let f (x ) = 3x +4 x - 6 Find the equations of the horizontal asymptotes and the ver- tical asymptotes of f(x). If there are no asymptotes of a given type, enter 'NONE'. If there is more...

(1 point) Let f(x) = -3 + -1x + 2x2. If h # 0, then the difference quotient can be simplified as f(x + h) -f(x) = Ah + Bx + C, h where A, B, and C are constants. (Note: It's possible for one or more...

Question 6: (1 point) Let f ( x ) = x on the interval [0, 2]. Let the interval be divided into two equal subintervals. Find the value of the Riemann sum E f (x," ) x, if each x," is the left endpoint...

Written Assignment 3 Answer all assigned exercises, and show all work. An asterisk indicates an exercise for which a graph pool is provided in Module Details. 1. For the points P and Q, find (a) the...

1 point Let f x be the function 3x2 2x 2 Then the difference quotient f 2 h f 2 can be simplified to ah b for 2 h 2 a and b

Find the derivative of the following functions using the formula for differentiation. Answer the problem below: * 1 point If f (x ) = 2n g(x) = 4+x h (x ) = x2 what is d dx [f(x ) + g(x) + h(x)]?...

(1 point) Let f (x) = 7x13/x 7. At what x-values is f ' (x) zero or undefined? x = (If there is more than one such x- value, enter a comma-separated list; if there are no such x- values, enter...

Section 14.7: Problem 9 (1 point) Let f (x, y) = x2 + kxy + y2 where k is a constant. For what values of k does the Second Derivative Test guarantee that f (x, y) will have a saddle point at the...

Warsame Warsame MATH 160 CSU Webwork WeBWorK assignment M160-801-SM-2.6 due 07/12/2017 at 11:59pm MDT interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the...

MATH 115 Precalculus Summer, 2017, V3.1 SHORT ANSWER, with work required to be shown, as indicated. 18. Find the equation for a line which passes through the points (5, 2) and (7, -8). Write the...

A trapezoidal weir having a side slope of IH to 2V discharges 50 under a constant head of 2m. Find the length of the weir when the coefficient is 0.60. What will the discharge be if a triangular...

On December 31, 2011, Felix Products borrowed $80,000 cash on a $105,800, 24-month zero percent note. Felix uses the straight-line method of amortization. Required: 1. Record the borrowing in Felixs...

does the following interval converge or diverge xe ^ ( - 1 0 x )

Variance analysis with activity-based costing and batch-level direct costs, Electric Eels Company produces high quality electric eels for Museums and Aquaria to sell in their gift shops. It accounts...

A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is - 3Q, and it is insulated from its...

A certain electric dipole is placed in a uniform electric field E of magnitude 20 N/C. Figure gives the potential energy U of the dipole versus the angle 0 between E and the dipole moment p. The...

In Figure an electron is shot at an initial speed of v0 = 2.00 x 106 m/s, at angle ?0 = 40.0o from an x axis. It moves through a uniform electric field E = (5.00 N/C)j. A screen for detecting...

A bicyclist traveling with speed v = 4.2 m/s on a flat road is making a turn with a radius r = 6.4 m. The forces acting on the cyclist and cycle are the normal force (Fn) and friction force (Ffr)...

All the same question, just to big for 1 picture Tucson Machinery, Inc,, manufactures numerically controlled machines, which sell for an average price of $0.5million each. Sales for these NCMs for...

5. Think through your own way of representing the world. What is your main pattern: Visually, verbally, emotions, smells, tastes?

1. Think of a situation in the workplace where you meet a person for the first time, which you know you will have a lot to do with in the future. a. Name three things about yourself that you will try...

3. List four points that you think are important to give the individual attention, when he or she is going to sell an argument or an idea to you.