Question: f(x) = ax 2 , where a is a constant. Prove, from first principles, that f'(x) = 2ax.

f(x) = ax2, where a is a constant. Prove, from first principles, that f'(x) = 2ax.

Step by Step Solution

★★★★★

3.41 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To prove that fx 2ax for the function fx ax2 using first principles ... 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 Edexcel AS And A Level Mathematics Questions!

Q:

Determine the velocity of the cylinder A when t = 4 s if the system is released from rest. Cylinder A has a mass of 8 kg and cylinder B has a mass of 6 kg. Neglect the mass of the pulleys and cords....

Q:

Prove from first principles that Universal Instantiation is sound and that Existential Instantiation produces an inferentially equivalent knowledge base.

Q:

Show from first principles that P (ab ^ a) = 1.

Q:

On May 1, 2020 Crop Corporation issued $450,000 worth of 7% bonds due in 5 years. Interest is paid semi-annually on November 1 and May 1 of each year, and Crop Corporation's year end is December 31....

Q:

in here P(A) is power set of(A) 1.Prove that A B iff P (A) P (B). 2. Prove that for any set A, A = P (A). 3. Suppose {Ai | i I} and {Bi | i I} are indexed families of sets. (a) Prove that iI (Ai...

Q:

need help with my worksheetsss MCV4U Unit 2 - Activity 2 The Derivatives of Polynomial Functions We have seen that derivatives of functions are of practical use because they represent instantaneous...

Q:

Legibly Printed Family/Last Name: Legibly Printed Given/FirstName: Signature: M119 Seat number: EXAM 3 14th April 2015 READ THIS: For each of the problems that begin on the next page, find the one...

Q:

When a large ship approaches harbour it is usually assisted by smaller ships called tugs. Figure Q1 illustrates the relationship between such a large ship (mess Ms) and two tugs (mass Mr and Mr)....

Q:

Demonstration microeconomics.- 6. (32 points) The aggregate production function in Solow (1957) was specified as: O = A(D)f(K, L). (1) (6 points) Derive the output elasticities of labor ( s, ) and...

Q:

VA 2.1 Quadratic Functions and Moc X * Course Hero X M Zookal Q&A: you received a solu x Z Zookal | Making Learning Effortle x + X G...

Q:

MATH 140 EXAM 1 Oct-Dec 2016 NAME Professor:B. Stec INSTRUCTIONS The exam is worth 100 points. There are 10 problems and one extra credit worth 5pts. This exam is open book and open notes with...

Q:

Identify each of the following as either a parameter or a statistic. (a) Population standard deviation. (b) Sample interquartile range. (c) Population 20th percentile. (d) Sample first quartile. (e)...

Q:

Grinder Ltd. is an S corporation that is wholly owned by Juan Plowright. Because several of Juan's ancestors have had Alzheimer's disease, Juan is transferring many of his assets to trusts, and he is...