Math 22 Derivatives of Exponential Functions - Revision history

Tphan046: /* Derivative of the Natural Exponential Function */

2020-08-11T15:40:25Z

Derivative of the Natural Exponential Function

Tphan046: /* Derivative of the Natural Exponential Function */

2020-08-11T15:39:27Z

Derivative of the Natural Exponential Function

Tphan046: Created page with "==Derivative of the Natural Exponential Function== Let $u$ be a differentiable function of $x$ . Then, 1. $\frac{d}{dx}[e^x]=e^x$ 2. $..."$

2020-08-11T15:20:02Z

Created page with "==Derivative of the Natural Exponential Function== Let <math>u</math> be a differentiable function of <math>x</math>. Then, 1.<math>\frac{d}{dx}[e^x]=e^x</math> 2.<math>..."

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==Derivative of the Natural Exponential Function==
Let <math>u</math> be a differentiable function of <math>x</math>. Then,
1.<math>\frac{d}{dx}[e^x]=e^x</math>
2.<math>\frac{d}{dx}[e^u]=e^u\frac{du}{dx}</math>

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'''This page were made by [[Contributors|Tri Phan]]'''

@@ Line 40: / Line 40: @@
 |<math>f(x)=\frac{e^x-e^{-x}}{2}=\frac{e^x}{2}-\frac{e^{-x}}{2}=\frac{1}{2}e^x-\frac{1}{2}e^{-x}</math>
 |-
-|<math>f'(x)=\frac{1}{2}e^x-\frac{1}{2}(-1)e^{-x}</math>
+|<math>f'(x)=\frac{1}{2}e^x-\frac{1}{2}(-1)e^{-x}=\frac{1}{2}e^x+\frac{1}{2}e^{-x}</math>
 |}
 [[Math_22| '''Return to Topics Page''']]
 '''This page were made by [[Contributors|Tri Phan]]'''

Math 22 Derivatives of Exponential Functions - Revision history

Tphan046: /* Derivative of the Natural Exponential Function */

Tphan046: /* Derivative of the Natural Exponential Function */

Tphan046: Created page with "==Derivative of the Natural Exponential Function== Let u be a differentiable function of x. Then, 1.\frac{d}{dx}[e^x]=e^x 2...."

Tphan046: Created page with "==Derivative of the Natural Exponential Function== Let $u$ be a differentiable function of $x$ . Then, 1. $\frac{d}{dx}[e^x]=e^x$ 2. $..."$