Question: Use the equation f ' ( a ) = lim x a f ( x ) - f ( a ) x - a to

Use the equation f'(a)=limxaf(x)-f(a)x-a to find f'(a) at the given number a.
f(x)=x2x+30,a=6
Please show all steps of simplifiction to solve and explain. Dont solve with L'Hospital Rules, please use the definition of a derivative to solve. I get stuck on the complex fractions and evaulation of limit at a=6.
Use the equation f ' ( a ) = lim x a f ( x ) - f

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:

Use the equation F dy ax X = = dx F y ay to find dy dx 6 tan ( x v ) = x+ xy- 2 2 24 dy 1+xv + x1 = dx 6- 12 X

Q:

Spring 19 Test 1 Practice This is a practice test only, do not expect the test to look exactly like this. Problem 1. (a) What are the two possible definitions for f'(a) (hint: both are limits, one...

Q:

Spring 19 Test 1 Practice This is a practice test only, do not expect the test to look exactly like this. Problem 1. (a) What are the two possible definitions for f'(a) (hint: both are limits, one...

Q:

Spring 19 Test 1 Practice This is a practice test only, do not expect the test to look exactly like this. Problem 1. (a) What are the two possible definitions for f'(a) (hint: both are limits, one...

Q:

Spring 19 Test 1 Practice This is a practice test only, do not expect the test to look exactly like this. Problem 1. (a) What are the two possible definitions for f'(a) (hint: both are limits, one...

Q:

Spring 19 Test 1 Practice This is a practice test only, do not expect the test to look exactly like this. Problem 1. (a) What are the two possible definitions for f'(a) (hint: both are limits, one...

Q:

Thus x t lim xo f s x s ds Finally the validity of this integral equation has the following two implications X 1 x f s x s ds x 0 xg 1 x lim ff s x s ds x S lim f s x s ds x f f s lim x s ds x ff s x...

Q:

(1) Find the derivative function for each of the following: (a) f(x)=x2x-1 (b) f(x)=sin(3-x) (2) Evaluate each integral. 1 (a) dx (b) [sece tane de (c) f(x-1)x dx 3x5 x+5x+4 2 x+4x+3x-4 (e) lim (3)...

Q:

In Problems 1 4 use the definition f c lim AD f c h f c h to find the indicated derivative 1 f 1 if f x x 3 f 3 if f 1 1 5 s x 2x 1 7 r x 3x 4 9 f x ax bx c 11 f x x 2x 1 2 13 h x X 2 f 2 if f t 2x 4...

Q:

If anyone could help me with these questions, please do so! Also please provide detailed solutions and to write down solutions on paper. Thank you! 1. Find the derivative for each of the following...

Q:

Macaron Corporation has 109,100 common shares that have been issued. It declares a 4% stock dividend on December 1 to shareholders of record on December 20. The shares are issued on January 10. The...

Q:

A p.d.f. with the same standard deviation of 10, but with a mean of 5. Calculate the coefficient of variation. Draw bell-shaped p.d.f.'s with the above properties.

Q:

6. Th e following sorites are taken from Lewis Carrolls Symbolic Logic. All are valid. Rewrite each sorites in standard form, using letters to represent the terms and reducing the number of terms...

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...