Octaviom83660@students.laalliance.org: Section 2

2023-03-28T23:15:17Z

Section 2

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<math>\mathbf{Chapter 3 Section 2}</math> 
<math>{\frac{d}{dx}} [c] = 0 </math> 
<math>{\frac{d}{dx}} [c\cdot f(x)] = c\cdot{\frac{d}{dx}} [f(x)] </math> 
<math>{\frac{d}{dx}} [f(x)\pm g(x)] = {\frac{d}{dx}} [f(x)] \pm {\frac{d}{dx}} [g(x)] </math> 
<math>{\frac{d}{dx}} [a^x] = \ln(a)a^x </math> 
<math>{\frac{d}{dx}} [e^x] = e^x </math> 
<math>\color{Blue}Power Rule </math> 
<math>{\frac{d}{dx}} [x^n] = n \cdot x^n-1 </math> 
<math>\color{Blue}Product Rule </math> 
<math>{\frac{d}{dx}} [f\cdot{g}]= {\frac{d}{dx}}[f]\cdot{g}+{\frac{d}{dx}}[g]\cdot{f}</math> 
<math>\color{Blue}Quotient Rule </math> 
<math>{\frac{d}{dx}}[\frac{f}{g}]=\frac{{\frac{d}{dx}}[f]\cdot{g}-{\frac{d}{dx}}[g]\cdot{f}}{g^2}</math> 
<math>\mathbf{Ex.1}</math> 
a)<math>f(x)=x\cdot{e^x}</math> 
<math>f^\prime(x)=1\cdot{e^x}+x\cdot{e^x}
</math>

2024/G5/3 - Revision history

Octaviom83660@students.laalliance.org: Section 2