Question: For the function f(x) = 4x 2 11x 3: (a) Find the derivative of f at x = 2. (b) Find the equation

For the function f(x) = 4x2 – 11x – 3:

(a) Find the derivative of f at x = 2.

(b) Find the equation of the tangent line to the graph of f at the point (2, -9).

(c) Graph f and the tangent line.

Step by Step Solution

★★★★★

3.39 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a f2 lim x2 lim x2 lim x2 lim x2 lim x2 fx 2 x2 x2 4x 11x342 1123 x2 4x11x39 x2 4x11x6 ... View full answer

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 Precalculus Questions!

Q:

For the function f (x) = x2 - 3x + 4, construct and simplify the difference quotient (f (x + h) - f (x)) / h.

Q:

For the function f, use composition of functions to show that f -1 is as given. a. f (x) = 6x - 5, f -1(x) = (x + 5) / 6 b. f (x) = (x + 1) / x, f -1(x) = 1/(x - 1)

Q:

For the function f defined by f(x) = x 2 - 4x + 1, find: (a) f(2) (b) f(x) + f(2) (c) f (-x) (d) -f(x) (e) f(x + 2) (f) f(x + h) f(x) h + 0

Q:

8. [0/8 Points] DETAILS PREVIOUS ANSWERS This exercise analyzes the function f(x) whose derivative f'(x) is graphed below. The domain of this function is the interval [-3, 4]. f (x) -4 -2 - - 21 - 3...

Q:

Provide solutions.to the following questions. There are two types of individuals: high ability (type H) and low ability (type L). Regardless of their level of education, the lifetime productivity of...

Q:

\f9 - 12 Simplify - Leave in Rational form 9. g(x) = 12x + 8 10. g(x) = x -2 f (x) = 4x - 2 f (x) = 3x-5 Find 9 Find (g . f) 11. f(x) = x+3 12. f(x) = 12x3 + 15x2 - 6x g(x) = x2 +5 g(x) = 3x Find (f...

Q:

Let f (x) = 4x. Compute f' (64) and find an equation of the tangent line to the graph at x = 64. (Use symbolic notation and fractions where needed. Let y = f(x) and express equation in terms of x and...

Q:

Submit a scam of this completed worksheet, in PDF form to the appropriate drop box on D2]... Due Monday, J one 8 by noon- Either print this paper and show your work here, or do your work on separate...

Q:

Part a & d only: Consider the following function. f ( x ) = - x - 2 3x + 5 (a) Find the inverse function of f. f - 1 ( x ) = (b) Graph both f and f on the same set of coordinate axes. y 15 -1 10 10 5...

Q:

7 . ( 2 Points ) For the polynomial function f ( x ) = _ * # + 4.x 2) a . IT'SE the Leading Coefficient Test to determine the graph's end behavior . 6. Find the x- intercepts . State whether the...

Q:

Write mesh equation for the circuit in figure using the assignedcurrents. 13 0.5V 20 V 12 V+ 14 12 +1

Q:

Answer the following questions using the information below: Sales $990 Raw materials inventory, beginning $40 Raw materials inventory, ending $70 Purchases of raw materials $120 Direct labour $200...

Q:

If she has already spent all of her lunch money, how should Melanie change her consumption decision to maximize utility? (A) She should make no changes; she is consuming the utility maximizing...

Q:

Reconsider Example 13.1. Each time Macheys orders cameras, it incurs a $125 ordering cost. Assume that Macheys could make an investment to decrease this ordering cost. Suppose that any 10% decrease...

Q:

Problems 5665. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. Use...

Q:

In Problems 3558, graph each function using transformations or the method of key points. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range...

Q:

In Problems 5358, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places. 2

Q:

pls help with hw question The mean incubation time of fertilized eggs is 23 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) Determine...

Q:

Select four stocks from finance.yahoo.com, google.finance.com, or moneycentral.msn.com. One should be a clothing manufacturer, one should be a retailer, one should be an automobile manufacturer, and...

Q:

Question 1 1 pts Which of the following will generally result in a higher price for a bond? Higher coupon rate. Longer maturity Shorter maturity. Higher required rate of return