Question: Let f ( x ) = - 3 x 3 - 2 x - 5 Use the limit definition of the derivative to calculate the

Let
f(x)=-3x3-2x-5
Use the limit definition of the derivative to calculate the derivative of f :
f'(x)=
Use the same formula from above to calculate the derivative of this new function (i.e. the second derivative f).
f''(x)=
Let f ( x ) = - 3 x 3 - 2 x - 5 Use the limit

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:

3. (12 pts) Let f (x) = 1 + x2 (a) (9 pts) Use the limit definition of the derivative to find the slope of the curve f (x) at the point (1, 1/2). (b) (3 pts) Find the equation of tangent line to the...

Q:

1 x 2 The graph of f is given below Let f x 5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 1 2 3 Determine the following function value Enter DNE if the function is undefined at x 2 f 2

Q:

I. Evaluate the following limits: (Item no. 1-2: 5 points each; item no. 3: 9 points) 5 1. lim x2-4x-5\\ x-5+ X 2. lim G(x) if G(x) = x+6 x3-1 5x2-x-4' if xs-1 3. Let f (x) = 3 4x2 +3x -2, if - 1 2...

Q:

I. Evaluate the following limits: (Item no. 1-2: 5 points each; item no. 3: 9 points) 5 1. lim x2-4x-5\\ x-5+ X 2. lim G(x) if G(x) = x+6 x3-1 5x2-x-4' if xs-1 3. Let f (x) = 3 4x2 +3x -2, if - 1 2...

Q:

W Let f( x ) = ( 3 x-2 X 4- 1 * + 5 - 14X21 x 3- 12 x+5 14X a f ( 0 ) = D) f ( 3 ) = b f (1 ) : ( f ( 2 )

Q:

2022-09-18, 3:00 11. Find the slope of the normal to the curve y = V1 + 12 at the point (2, 5). 12. Calculate the derivatives of the following functions. (You may use appropriate rules and formulae.)...

Q:

1. Answer the following. (a) (6 points) Let f (x) = Vx2 - 2. Calculate f' (x) using the limit definition of the derivative. (b) (6 points) Evaluate the limit Hapter 2 - 1 lim arctan (x) I-+00 2x + 1...

Q:

hi can you solve these thanks (2 points) Let f (x) = (2x2 + 5x + 5). Then according to the definition of derivative f'(X)=}1iiI(1) ________________________________________________ (Your answer above...

Q:

Could you explain how to show 10.2 Definition 10.1. Let R be a ring. Then a polynomial with coefficients in R is a formal expression do + aix + azx2 + ... + anx", where a; E R and n is a nonnegative...

Q:

1) Find the derivative using the definition f (x) = x3 - 3x + 5 2) Find f'(a) using definition of derivative given f (x) = 3-x x+2 3) Given f(x) = vx -3 find the equation of the tangent line at...

Q:

The value of the ion-product constant for water, Kw, increases with temperature. What will be the effect of lowering the temperature on the pH of pure water?

Q:

A company began a year with 300 units of inventory costing $9 each. During the year, the company purchased an additional 700 units costing $8 each. A physical count at year end determined there were...

Q:

Project B has the following cash flows: (remember the year zero number is negative) Year 0 Year 1 Year 2 Year 3 Year 4 Cash flows -$1,000,000 $600,000 $400,000 $300,000 $200,000 Project E has the...

Q:

Generate a project risk matrix for the Bike-sharing kiosks project and discuss the importance of defining the project risks. The WBS should contain the task, dependencies, the resources that are...