2024/G1/3: Difference between revisions
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(Created page with "==Ch3 Sec2 Review== <math>{\frac{d}{dx}} [c] = 0 </math> <br> <math>{\frac{d}{dx}} [c\cdot f(x)] = c\cdot{\frac{d}{dx}} [f(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}} [a^x] = \ln(a)a^x </math><br> <math> {\frac{d}{dx}} [e^x] = e^x </math><br> ==Ch3 Sec4 == ===Point Slope Form=== <math> y - y_1 = m(x - x_1) </math> <br>") |
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== | ==3.1 DERIVATIVE OF POLYNOMIALS AND EXPONENTIAL FUNCTIONS== | ||
==3.2 THE PRODUCT AND QUOTIENT RULES== | |||
<math>{\frac{d}{dx}} [c] = 0 </math> <br> | <math>{\frac{d}{dx}} [c] = 0 </math> <br> | ||
<math>{\frac{d}{dx}} [c\cdot f(x)] = c\cdot{\frac{d}{dx}} [f(x)] </math> <br> | <math>{\frac{d}{dx}} [c\cdot f(x)] = c\cdot{\frac{d}{dx}} [f(x)] </math> <br> | ||
| Line 7: | Line 9: | ||
<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> | ||
==3.3 DERIVATIVE OF TRIGONOMETRIC FUNCTIONS== | |||
<math> | |||
==Ch3 Sec4 == | ==Ch3 Sec4 == | ||
Revision as of 16:10, 25 April 2023
3.1 DERIVATIVE OF POLYNOMIALS AND EXPONENTIAL FUNCTIONS
3.2 THE PRODUCT AND QUOTIENT RULES
![{\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/02df667a9de22b7a499cb1b37b3df322b3bfc5a4)
![{\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)
3.3 DERIVATIVE OF TRIGONOMETRIC FUNCTIONS
