Derivative of e^cosx with Chain Rule | Calculus 1 Exercises

preview_player
Показать описание
We differentiate e^cosx using the chain rule. The outside function f(x) is f(x) = e^x, and the inside function g(x) is g(x)=cosx. Then, f(g(x)) = e^cosx, so we see we've identified the outside and inside functions correctly. Applying the chain rule, we have the derivative of f(g(x)) is f'(g(x))*g'(x) = e(cosx)*(-sinx). #calculus1 #apcalculus

◉Textbooks I Like◉

★DONATE★

Thanks to Loke Tan, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!

Outro music is mine. You cannot find it anywhere, for now.

Follow Wrath of Math on...

  1. Wrath of Math
  2. wrath of math
  3. derivative of e^cosx
  4. derivative of e^sinx
  5. derivative of e^cosx chain rule
  6. derivative of e chain rule
Рекомендации по теме
Derivative of e^cosx 0:01:56

Derivative of e^cosx with Chain Rule | Calculus 1 Exercises

Differential of e^cos(x) 0:01:15

Differential of e^cos(x) using the Chain Rule - A Level Maths

Derivative of e^cosx,32 0:00:32

Derivative of e^cosx,32 seconds, straight to the point but detailed

differentiate y = 0:00:35

differentiate y = e^cos x

What is the 0:01:24

What is the Derivative of e^cosx || e^cosx Derivative || Derivative of e^cosx

How to differentiate 0:02:12

How to differentiate e^xcosx using the Product Rule

Derivative of e^(cos 0:00:49

Derivative of e^(cos x) || Differentiation of Exponential and Trigonometric Functions #shorts

Derivative of e^sinx 0:01:57

Derivative of e^sinx with Chain Rule | Calculus 1 Exercises

y = e^(x*cos 0:01:04

y = e^(x*cos x) , Find the derivative of the function.

How to Differentiate 0:03:42

How to Differentiate sin²x with respect to e^cosx

Derivative of e^(1/x) 0:01:56

Derivative of e^(1/x) with Chain Rule | Calculus 1 Exercises

Exponential derivative visual 0:00:57

Exponential derivative visual

Derivative of ln(sin(x)), 0:00:31

Derivative of ln(sin(x)), chain rule with natural log and sine. #shorts

Derivative of e^cos 0:04:24

Derivative of e^cos x - By First Principles( in Nepali🇳🇵) || Easy Way

How to differentiate 0:02:34

How to differentiate e^(4x) (chain rule)

Differentiate the following 0:08:11

Differentiate the following functions from first principles: \[ e^{\cos x} \]

Derivative of e^2x 0:00:50

Derivative of e^2x (Chain Rule) | Calculus 1 Exercises

How REAL Men 0:00:35

How REAL Men Integrate Functions

derivative of e^(cos 0:00:12

derivative of e^(cos x ) by using first principle of derivative

Derivative of e^cosec 0:00:34

Derivative of e^cosec x || Differentiation of Exponential Trigonometric Function #calculus #shorts

100 calculus derivatives 6:38:13

100 calculus derivatives (ultimate derivative tutorial)

derivative arccos(e^x) = 0:00:35

derivative arccos(e^x) = answer using chain rule // cos^(-1), cos inv, exp(x), exponential #Shorts

When mathematicians get 0:00:37

When mathematicians get bored (ep1)

Calculus Made Easy: 0:00:42

Calculus Made Easy: Derivative of ln(cos(x)) Using the Chain Rule

Комментарии
Автор

Why is the outside function different here, where in something like y=(3x^2 + 1)^3, the outside function is x^3, rather than in e^(cosx), the outside function is e^x?

Relesy