XMS Differentiation practice

Xinmin Secondary School Math Department Additional Mathematics: Calculus Practice Name: ______________________________ ( ) Date: ___________ Routine Differentiation; Equation of Tangents and Normal 1 XMS 2020 AM P2 A curve has equation ( ) 3 4 2 3yx=− , for 3 2x . It meets the line 2x= at the point A. (i) Find x y d d . [1] (ii) Find the equation of the normal to the curve at point A. [3] (iii) Explain why ( ) 3 4 2 3yx=− is an increasing function. [1] 2 MFSS 2022 AM P1 3 PHS 2022 AM P1

4 JSS 2022 AM P1 5 PHS 2023 AM P1 Differentiation: Increasing and Decreasing Function 1 XMS 2022 AM P2 2 PHS 2023 AM P1

Differentiation: Connected Rate of Change 1 XMS 2020 AM P1

2 XMS 2022 AM P2 3 MFSS 2022 AM P1

4 FMSS 2022 AM P1 5 JSS 2022 AM P1

Differentiation: Maxima and Minima Problems 1 XMS 2022 AM P1 2 MFSS 2022 AM P2

3 FMSS 2022 AM P1 4 PHS 2022 AM P1

5 JSS 2022 AM P1 6 JSS 2022 AM P2