Careful: arc sin(sin(5π/4)) ≠ ...

STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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

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Review: Linear form, Quadratic form & Bilinear form

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Bijection of elements in tn & a pair of elements of (n+1)

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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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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trig Write each expression as an equivalent algebraic expression involving only x.

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1st/3part: Maclaurin Series [ahp kia]

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expon directive a^f(x)

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2nd way: STPM Math 2 Sem.2 Ex 11.4 Find the first 4 terms in the Maclaurin series of each of ...

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A function f is called even if f(-x)=f(x) for ALL x in the domain of f &

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2nd way: integral ∫1/(a + √√b (x^2)) dx

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Alternate way: trig integral ∫cos(x) dx

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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integral ∫√(x-a)/x dx

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

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Compute the derivatives of the following function

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4th/4ways: trig derivative sin(x)

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