Question: 3. (8 points) Given f (x) = 6 - 4x + x2, a) Find the equation of the tangent line to f (x) at x=1.

3. (8 points) Given f (x) = 6 - 4x + x2, a) Find the equation of the tangent line to f (x) at x=1. 3a) GUAWNHOHNWAVO - 6 -5-4 -3 -2 -10 2 3 4 5 6 b) Sketch a graph of the f(x) function and the tangent line on the same set of axis. 4. (6 points) Given f (x) = 2 - 3x2, using the limit definition of derivative, find f'(x)

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!

3. (6 points) Given f(x) = 6 - 4x + x2, a) Find the equation of the tangent line to f (x) at x=1. 3a) -6 -5 -4 -3 -2 -1 b) Sketch a graph of the f (x) function and the tangent line on the same set of...

3. (Spoints) Given f(x) = 6 4x + x2, a) Find the equation of the tangent line to f (x) at x=1. b) Sketch a graph of the f (x) function and the tangent line on the same set of axis. 4. (6 points)...

Questions: $ 5(NC). A balloonist drops a sandbag om a balloon 160 feet above the ground. After 1 seconds, the sandbag is 160 i6t2feet above the ground. With what velocity does the sandbag strike the...

Algebraic For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular: 4x7y= 10 7x+4y=1 3y+x= 12 y= 8x+1...

What is the Equation? 1. Write the equation for the line that passes through (-5, -4) and (3, 12). Step 1. Label the ordered pairs. (x1, y1) and (x2, yz) Calculate the slope. m = 2 yi_()- 2 = X2 - X1...

MATH 107 QUIZ 4 NAME: _______________________________ September-October, 2017 Instructor: S. Sands I have completed this assignment myself, working independently and not consulting anyone except the...

I only need answer for missing or questions I got wrong. (- ) C i webassign.net/web/StudenlfAssignmeanesponses/subrnit?dep:289799768ttags:aulosave#04 l3 E . El . 5 Need Help? i i A 4. [ Points]...

2/8/2016 NS116 Practice Final Mandie AdlerMOL NS116 (6 Week), section XM1A, Winter 2016 Instructor: Linda Desjardines WebAssign NS116 Practice Final (Homework) Current Score : - / 20 Due : Thursday,...

Please help answer these questions. I only have 1 hour. Thank you f(x + h) - f(x) By determining f' (x) = lim , find f' (6) for the given function. h - 0 h f(x) = 8xa) Graph the function f(x) = x2 +...

A) No partner / a general/ any partner/ a limited partner B) No partner / a general/ any partner/ a limited partner C) applies/ does not apply D) includes / excludes When is partnership income...

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer: (i) (1, 2), (1, 0), (1, 2), (3, 0) (ii) (-3, 5), (3, 1), (0, 3), (- 1,-4) (iii) (4, 5), (7,...

Why should companies refrain from automatically awarding business to the supplier with the lowest bid? O

The force constant of a massless spring is 2 5 . 0 N / m . A mass of 0 . 4 5 kg is oscillating in simple harmonic motion at the end of the spring

Intermediate: FIFO method and losses in process The manufacture of one of the products of A Ltd requires three separate processes. In the last of the three processes, costs, production and stock for...

Intermediate: Losses in process (FIFO and weighted average methods) A company produces a single product from one of its manufacturing processes. The following infor mation of process inputs, outputs...

Intermediate: FIFO method and losses in process A company operates several production processes involving the mixing of ingredients to produce bulk animal feedstuff's. One such product is mixed in...