{"batchcomplete":"","continue":{"lecontinue":"20230330215425|553","continue":"-||"},"query":{"logevents":[{"logid":563,"ns":0,"title":"MV Calculus","pageid":427,"logpage":427,"params":{},"type":"create","action":"create","user":"Dvaezazizi@laalliance.org","timestamp":"2023-06-21T15:42:20Z","comment":"Created page with \"https://youtu.be/-3uMEWZYIKU\""},{"logid":562,"ns":0,"title":"Honors Pre-Calc. 9th","pageid":426,"logpage":426,"params":{},"type":"create","action":"create","user":"Dvaezazizi@laalliance.org","timestamp":"2023-06-20T01:58:30Z","comment":"Created page with \"1.4: https://www.youtube.com/watch?v=3VbGA0w51lw
1.3: https://www.youtube.com/watch?v=WPUqh73hIDg
1.2: https://www.youtube.com/watch?v=IxTHmzgllFQ
1.1: https://www.youtube.com/watch?v=4-XuHYU6KZw
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[[Honors Pre-Calc.]]
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\\lim_{\\theta\\to 0} \\frac{sin(\\theta)}{\\theta} = 1
\\lim_{\\theta\\to 0} \\frac{cos(\\theta)-1}{\\theta}=0
\\frac{d}{dx} [sin(x)] = cos(x)

\\frac{d}{dx} [cos(x)] = -sin(x)

\\frac{d}{dx} [tan(x)] = sec^{2}(x)

\\frac{d}{dx} [csc(x)] = -csc(x) \\cdot cot(x)

\\frac{d}{dx} [sec(x)] = sec(x) \\cdot tan(x)

\\mathbf{Chapter 3 Section 2}
{\\frac{d}{dx}} [sin(x)] = cos(x) \\qquad {\\frac{d}{dx}}[csc(x)]= -csc(x) \\cdot cot(x)
{\\frac{d}{dx}} [cos(x)] = -sin(x) \\qquad {\\frac{d}{dx}}[sec(x)]= sec(x) \\cdot tan(x)
{\\frac{d}{dx}} [tan(x)] = sec^2(x)\\qquad {\\frac{d}{dx}}[cot(x)]= -csc^2(x)dr
\\mathbf{\\color{Blue}{Examples}}
\\mathbf{Ex.2}
f(x)=\\frac{sec(x)}{1+tan(x)}
\""},{"logid":557,"ns":0,"title":"2024/G1/3","pageid":420,"logpage":420,"params":{},"type":"create","action":"create","user":"Christophers69344@students.laalliance.org","timestamp":"2023-04-11T16:46:50Z","comment":"Created page with \"==Ch3 Sec2 Review== {\\frac{d}{dx}} [c] = 0
{\\frac{d}{dx}} [c\\cdot f(x)] = c\\cdot{\\frac{d}{dx}} [f(x)]
{\\frac{d}{dx}} [f(x)\\pm g(x)] = {\\frac{d}{dx}} [f(x)] \\pm {\\frac{d}{dx}} [g(x)]
{\\frac{d}{dx}} [x^n] = n \\cdot x^n-1
{\\frac{d}{dx}} [a^x] = \\ln(a)a^x
{\\frac{d}{dx}} [e^x] = e^x
==Ch3 Sec4 == ===Point Slope Form=== y - y_1 = m(x - x_1)
\""},{"logid":556,"ns":0,"title":"2024/G2/12","pageid":419,"logpage":419,"params":{},"type":"create","action":"create","user":"Aroldog69360@students.laalliance.org","timestamp":"2023-03-30T22:20:47Z","comment":"Created page with \"\\mathbf{3.1}
1. The derivative of a constant is 0 = {\\frac{d}{dx}} [c] = 0
2. {\\frac{d}{dx}} [x^n] = nx^{n-1}

3. {\\frac{d}{dx}} [c\\cdot f(x)] = c \\cdot {\\frac{d} {dx}} [f(x)]

4. {\\frac{d}{dx}} [f(x) + g(x)] = {\\frac{d}{dx}} [f(x)] + {\\frac{d}{dx}} [g(x)]

5. {\\frac{d}{dx}} [a^x] = ln (a) \\cdot a^x

6. {\\frac{d}{dx}} [e^x] = e^x \\mathbf{Chapter 3 Section 2}
Review section 1
{\\frac{d}{dx}} [c] = 0
{\\frac{d}{dx}} [c\\cdot f(x)] = c\\cdot{\\frac{d}{dx}} [f(x)]
{\\frac{d}{dx}} [f(x)\\pm g(x)] = {\\frac{d}{dx}} [f(x)] \\pm {\\frac{d}{dx}} [g(x)]
{\\frac{d}{dx}} [a^x] = \\ln(a)a^x
{\\frac{d}{dx}} [e^x] = e^x
\\color{green}Power\\,Rule
{\\frac{d}{dx}} [x^n] = n \\cdot x...\""},{"logid":554,"ns":0,"title":"2024/G8/3","pageid":417,"logpage":417,"params":{},"type":"create","action":"create","user":"Seths70070@students.laalliance.org","timestamp":"2023-03-30T22:11:37Z","comment":"Created page with \"[[2024/G8/12|Section 1]]
[[2024/G8/13|Section 2]]
\""}]}}