Higher-order derivatives, Mathematics

Assignment Help:

Higher-Order Derivatives

It can be seen that the derivative of a function is also a function.

Considering f'x as a function of x, we can take the derivative of  f'x which will yield another function, say f''x. This is called the second derivative of f(x). The third derivative of f(x) is the derivative of the second derivative f''x. We can take derivatives of higher orders by repeating the process. The second, third, fourth, (etc.) derivatives are symbolically written as:

1638_higher order derivative.png 

Example 

Let     f(x)

=

  3x3 + 2x2 - 4x + 6

f'x

=

 9x2 + 4x - 4

f''x

18x + 4

f''x

=

18
f(4) (x)

=

0
f(5) (x)

=

 0

"

   

"

   

"

   
f(n) (x)

=

0

Related Discussions:- Higher-order derivatives

Define the correlations, A retention counselor at a state university believ...

A retention counselor at a state university believes that freshman year success is related to high school standard tests in math and reading, and in the number of credits the stude

Uniform distribution over the interval, High temperatures in certain city i...

High temperatures in certain city in the month of August follow uniform distribution over the interval 60-85 F. What is probability that a randomly selected August day has a Temper

Find the volume of a right circular cylinder, Find the volume of a right ci...

Find the volume of a right circular cylinder: Calculate the volume and surface area of a right circular cylinder along with r = 3" and h = 4".  Solution: V =      πr 2

Word problems, if I read 6 hours of spring break how many minutes did ...

if I read 6 hours of spring break how many minutes did read

Algebra, (x+15)/y=10 where y=5

(x+15)/y=10 where y=5

Limits, evaluate limit as x approaches 0 (x squared times sin (1/x)

evaluate limit as x approaches 0 (x squared times sin (1/x)

#titleBUsiness calculus.., If $2,000 is invested in a savings account offer...

If $2,000 is invested in a savings account offering interest at a rate of 3.5% per year, compounded continuously, how fast is the balance growing after 8 years? (Round your answer

Evaluate the convergence of the algorithms, Evaluate the convergence of the...

Evaluate the convergence of the algorithms: From the convergence proof of power method, LR and QR algorithm for the computation of eigenvalues we see that the easiest case to

find the original number, A two-digit number is seven times the sum of its...

A two-digit number is seven times the sum of its digits.  The number formed by reversing the digits is 18 less than the  original number. Find the original number.

Definition of functions, Definition: An equation is considered as function...

Definition: An equation is considered as function if for any x in the domain of the equation (the domain is the entire x's which can be plugged into the equation) the equation wil

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd