Nth Derivative Of a^(mx)

In this quick math tutorial you will learn how to find the Nth Derivative of a^(mx) by successive differentiation method. So please observe each step very carefully.

To Find $N_{t} h$ $N_th$ derivative of $a^{m x}$ $a^(mx)$

Let $y$ $y$ = $a^{m x}$ $a^(mx)$

Differentiating $y$ $y$ w.r.t $x$ $x$ we get …..

$y_{1}$ $y_1$ = m. $a^{m x}$ $a^(mx)$ . $log a$ $log a$

Now Differentiating $y_{1}$ $y_1$ w.r.t $x$ $x$ we get………..

$y_{2}$ $y_2$ = $m^{2}$ $m^(2)$ . $a^{m x}$ $a^(mx)$ . ${(log a)}^{2}$ $(log a)^(2)$

Again Differentiating $y_{2}$ $y_2$ w.r.t $x$ $x$ we get………..

$y_{3}$ $y_3$ = $m^{3}$ $m^(3)$ . $a^{m x}$ $a^(mx)$ . ${(log a)}^{3}$ $(log a)^(3)$

Again Differentiating $y_{3}$ $y_3$ w.r.t $x$ $x$ we get………..

$y_{4}$ $y_4$ = $m^{4}$ $m^(4)$ . $a^{m x}$ $a^(mx)$ . ${(log a)}^{4}$ $(log a)^(4)$

Now we keep differentiating $y$ $y$ successively until we reach $n_{t} h$ $n_th$ derivative

So, $y_{5}$ $y_5$ = ……………………….

And $y_{6}$ $y_6$ = ………………………..

…………………………………….

Finally, $y_{n}$ $y_n$ = $m^{n}$ $m^(n)$ . $a^{m x}$ $a^(mx)$ . ${(log a)}^{n}$ $(log a)^(n)$

______________________________________________________

😊 let's understand this with the help of this video tutorial 😊

______________________________________________________

Please don't forget to share your valuable feedback with me. Your opinions are heartily welcomed here.

Latest

Nth derivative of x power 4 cos(3x+b)| x^4 cos(3x+b) | Engineering Math ...

Lec 3 || How to resize web browser to specific location || Selenium-WebDriver tutorials

Lec 2 || Write a script to maximize browser | Selenium-WebDriver tutorials

Lec 1 || Write a script to open Chrome browser and launch google.com | Selenium-WebDriver tutorials

Class 12th Mathematics Practice Set 1 | Vector Algebra | UP Board New Pattern Based

integration by partial fraction | integral of `\int \frac{dx}{x^2 - 4}` | Integration Solved Examples

Integration of e^ax cosbx || Integration by parts || important Integrals for competitive and board exams

Integration by parts || Integration of e^ax sinbx || Important Question from integrals

Nth Derivative Of `e^{2x} Sin3x.Sin2x` | Leibnitz Theorem Of Nth Derivatives Examples

Nth Derivative Of Log(ax+b) | Successive Derivatives Solved Examples

Nth Derivative of (ax+b)Sinx | Sinx.(ax+b) Solution | Leibnitz Theorem

सन्निकट मान ज्ञात करो | Find approximate value | if f(x) = 𝟑𝐱^𝟐+𝟓𝒙+𝟑 find F(3.02) = ? | Class 12

Show That XUx + YUy + ZUz = 2U If U = X^2 + Y^2 + Z^2 | Partial Derivatives Solved Example

Nth Derivative of x^-1, X^n By successive differentiation method

Nth Derivative Of X^n Y^n | x^ny^n By Leibnitz theorem | Solved Example

VARIFICATION OF EULER'S THEOREM | EULER'S THEOREM STATEMENT | SOLVED EXAMPLE

CCE - ClassCastException In Java | OOps Concept

Class Type Casting In Java | OOPs In Java

Nth Derivative `Sin^(4)x` | Successive Differentiation | Leibnitz Theorem Solved Example

Nth Derivative of sin^2x | Successive Differentiation | Leibnitz Theorem Solved Example

Nth Derivative of x^3 cosx | Leibnitz Theorem Solved Examples

Print All The ASCII Value Of Capital Characters In Java

Type Casting In Java | Chang Of Data Types From One Type To Another Type

Method Overloading In Java | How to achieve method overriding? | Why method overriding?

This(); Statement In Java | What Is The Use Of This(); Statement In Java

Math Traders

Find Nth Derivative Of $a^{m x}$ $a^(mx)$ || YouTube

Nth Derivative Of a^(mx)

In this quick math tutorial you will learn how to find the Nth Derivative of a^(mx) by successive differentiation method. So please observe each step very carefully.

No comments:

Post a Comment

Translate This Website

Popular

Contact Form

Labels

Latest

Find Nth Derivative Of amxamxa^(mx) || YouTube

Nth Derivative Of a^(mx)

In this quick math tutorial you will learn how to find the Nth Derivative of a^(mx) by successive differentiation method. So please observe each step very carefully.

Nth Derivative Of `e^{2x} Sin3x.Sin2x` | Leibnitz Theorem Of Nth Derivatives ExamplesJan 10, 2021

Nth Derivative Of Log(ax+b) | Successive Derivatives Solved ExamplesDec 25, 2020

Nth Derivative of (ax+b)Sinx | Sinx.(ax+b) Solution | Leibnitz TheoremDec 25, 2020

Nth Derivative of x^-1, X^n By successive differentiation method Dec 18, 2020

No comments:

Post a Comment

Translate This Website

Popular

Contact Form

Labels

Find Nth Derivative Of $a^{m x}$ $a^(mx)$ || YouTube