2024/G1/3
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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
![{\displaystyle {\frac {d}{dx}}[sin(0)]=cos(0)}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/69b11753301c786d83cac2c4b818a62b21cefa89)
![{\displaystyle {\frac {d}{dx}}[cos(0)]=-sin(0)}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/1954b1d317018ba052392032da13755aa2485af6)
![{\displaystyle {\frac {d}{dx}}[tan(0)]=sec^{2}(0)}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/09f1d6ca0893ecac173ba5eb325805414dac785f)
![{\displaystyle {\frac {d}{dx}}[csc(0)]=csc(0)\cdot cot(0)}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/93878095ae2348a74da452932f520bd93ed55f77)
![{\displaystyle {\frac {d}{dx}}[sec(0)]=sec(0)\cdot tan(0)}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/e2bafca0d700c5adcc81f709bd32b63097c836b1)
![{\displaystyle {\frac {d}{dx}}[cot(0)]=-csc^{2}(0)}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/5171a92c94d8fbbcc1793964311cb47c58846022)
Ex.2
![{\displaystyle F'(x)={\frac {[sec(x)\cdot tan(x)][1+tan(x)]-sec(x)[sec^{2}(x)}{[1+tan(x)]^{2}}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/77842aa3b7bf8e3f3085375858c84e39bdff8ffc)
![{\displaystyle F'(x)={\frac {sec(x)[tan(x)+tan^{2}(x)-sec^{2}(x)}{[1+tan(x)]^{2}}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/24295e7c6127b0e10997d437cf16161e1e544e36)
![{\displaystyle F'(x)={\frac {sec(x)(tan(x)+tan^{2}(x)-tan^{2}(x)-1)}{[1+tan(x)]^{2}}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/89b5a7a610e4b23e621cdd9e9d051c6eb27c67f3)
![{\displaystyle F'(x)={\frac {sec(x)[tan(x)-1]}{[1+tan(x)]^{2}}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/89a36dd4ab86c1c18dda783a51a54b543bb1314f)
Ex. 3
3.4
Point Slope Form
