2024/G1/2: Difference between revisions
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<math>{\frac{d}{dx}} [f(x)\pm g(x)] = {\frac{d}{dx}} [f(x)] \pm {\frac{d}{dx}} [g(x)] </math> <br> | <math>{\frac{d}{dx}} [f(x)\pm g(x)] = {\frac{d}{dx}} [f(x)] \pm {\frac{d}{dx}} [g(x)] </math> <br> | ||
<math> {\frac{d}{dx}} [x^n] = n \cdot x^n-1 </math> <br> | <math> {\frac{d}{dx}} [x^n] = n \cdot x^(n-1) </math> <br> | ||
<math>{\frac{d}{dx}} [a^x] = \ln(a)a^x </math><br> | <math>{\frac{d}{dx}} [a^x] = \ln(a)a^x </math><br> | ||
<math> {\frac{d}{dx}} [e^x] = e^x </math><br> | <math> {\frac{d}{dx}} [e^x] = e^x </math><br> | ||
Revision as of 20:53, 30 March 2023
2.2 THE LIMIT OF A FUNCTION
Notes go here for 2.2... example:
2.3 CALCULATING LIMITS USING THE LIMIT LAWS
2.5 CONTINUITY
2.6 LIMITS AT INFINITY; HORIZONTAL ASYMPTOTES
2.7 DERIVATIVES AND RATES OF CHANGE
2.8 THE DERIVATIVE AS A FUNCTION
![{\displaystyle {\frac {d}{dx}}[c]=0}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/834381b512bc1d1fc47c2d26ce38ae71daaa1053)
![{\displaystyle {\frac {d}{dx}}[c\cdot f(x)]=c\cdot {\frac {d}{dx}}[f(x)]}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/e100ac3ba73695d9c36ad8ada81efba4c2a01129)
![{\displaystyle {\frac {d}{dx}}[f(x)\pm g(x)]={\frac {d}{dx}}[f(x)]\pm {\frac {d}{dx}}[g(x)]}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/27fc302c62ab11c846d1255170f40351d3461dfe)
![{\displaystyle {\frac {d}{dx}}[x^{n}]=n\cdot x^{(}n-1)}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/8ec6768648ad25adf94ca5aa2e999998e81a5885)
![{\displaystyle {\frac {d}{dx}}[a^{x}]=\ln(a)a^{x}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/63daf7259a950f7e09db6f16b13e760574c26bf7)
![{\displaystyle {\frac {d}{dx}}[e^{x}]=e^{x}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/783a58bf19ce36ca7781d7d31d78161a55406bff)