Question: Let f ( x ) = x 2 + 3 x + 2 . Then f ' ( x ) = lim h 0 f

Let f(x)=x2+3x+2.
Then
f'(x)=limh0f(x+h)-f(x)h
=limh0[(x+h)2+3x+h+2]-[x3+3x+2]h
=limh02xh+h2+3hh
=limh0h(2x+h+3)h
=limh0(2x+h+3)
Let f ( x ) = x 2 + 3 x + 2 . Then 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!

Q:

BEWARE! When plugging c into a function, if - is obtained, STOP, no conclusions can be drawn. This is called indeterminate form. The best way to deal with indeterminate form is to use algebraic...

Q:

calculus: 2. [-/0.42 Points] DETAILS SESSCALC2 1.1.003. The graph of a function fis given. (a) State the value of f(1). (b) Estimate the value of f(-1). (c) For what values of x is f(x) = 1? (Enter...

Q:

I have 6 questions and for each question, there's an example with a solution: First question: Given the function f(x, y) = x2 + y2 10y - 2xy + 10x - 50 , the domain of f(x, y) is {(x, y) ( R2, x / A,...

Q:

1 f ( x ) = - x + 2 - 3 - Determine whether f(x) approaches co or -co as x approaches -2 from the left and from the right. (a) lim f(x) x - -27 (b) lim f(x) x - - 2+ Need Help? Read It Submit Answer...

Q:

AP Calculus BC: Integration Techniques for Calculus BC 2022 AP Live Bryan Passwater & To 5 of 10 Free Response Practice 1. Let f (x) = 3 2 +K dx , where & is a constant. (a) Let k =9. Find f (v3) (b)...

Q:

Use the graph of f to state the value of each quantity, if it exists. If infinite, specify either co or -co . (If an answer does not exist, enter DNE.) a. lim f(x) = X - -4 b. lim f ( x ) = x - -2 C....

Q:

1 x 2x x x 1 3 Let f x a Analyze lim f x and lim f x X48 x 00 b Does f have a slant asymptote If so write the equation of the slant asym

Q:

2 O X 21 3 4 5 16 7 -3 The figure above shows the graph of the function f. Which of the following statements are true? 1. lim f (x) = f (2) Il. lim f (x) = lim f (x) 1 6 I +6 Ill. lim f (x) = f (6) 1...

Q:

Use the graph of the function f to decide whether the value of the given quantity exists. (If an answer does not exist, enter DNE.) 3 . N -12 2 4 6 -1 (a) F ( - 2 ) (b) lim f(x) x - -2 (c) f(0) (d)...

Q:

1. Let f (x) = 4x2 -2 Find the exact area under the curve on the interval [0,4] using the limit of a Riemann sum. The steps below are given. DIA (1) Ax = (2) X. = ( 3 ) Find the simplified formula...

Q:

Explain why we normally exclude pure solids and liquids from equilibrium-constant expressions?

Q:

A solid circular bar ABCD with fixed supports is acted upon by torques T0 and 2T0 at the locations shown in the figure. Obtain a formula for the maximum angle of twist (max of the bar. (Use Eqs. 3-46...

Q:

*19. As compared with the FIFO method of costing inventories, does the LIFO method result in a larger or smaller net income in a period of rising prices? What is the comparative effect on net income...

Q:

From this doc, i'd like to know how to do verification and audit.