sq root derivative √x [Good to know the result]

Always ZERO

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Review: Linear form, Quadratic form & Bilinear form

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2nd way: integral ∫ log √x(x^n) dx

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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2 ways: sq root derivative 1/(√√(1/√x))

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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integral ∫ x dx withOUT using Power rule.

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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx

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3 ways: If y=x/(1+x^2) find dy/dx.

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2 ways: trig exp derivative e^(sin(x)) sin(e^x)

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3rd way: rational function integral ∫x^3/√ (1+x^2) dx

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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Careful: arc sin(sin(5π/4)) ≠ ...

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2nd/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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3 ways: rational function integral ∫(x^2+1)/(x-1)^3 dx

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3rd/3ways: trig integral ∫sec(x) dx

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2nd Alternate trig ∫integral sin(x) dx

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logic: tautology p→q≡(¬q→¬p)

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