Analysis 2 (Derivatives)

Subject 1: Calculating derivatives of elementary functions such as

• Level 1 : -2x⁴ + 7x² + 3x + 5
• Level 2 : COS(x) - x³ + x
• Level 3 : x³/(x - 2)
• Level 4 : COS(x² - 3x)
• Level 5 : 3LN(x) + EXP(x)
• Level 6 : TAN(x) / (-3x²)
• Level 7 : LN(TAN(x)) + EXP(SIN(x))
• Level 8 : 3x^0.6 - LN(x)

Subject 2: Investigating elementary functions with algebraic applications.

• Level 1 : Rational f(x) = (3x² - 5)/x
• Level 2 : Irrational f(x) = 3ײx- 5x
• Level 3 : Trigonometric f(x) = 2COSx + 3x
• Level 4 : Exponential f(x) = -2x + EXP(x)
• Level 5 : Logarithmic f(x) = (LN(x) - 2)/x
• Level 6 : Power f(x) = x ^-1.8 - LN(x)