Ch4 Implicit Differentiation

​Ch4: Differentiation

Pure Math P3

​Topic: Implicit Differentiation

​Agenda

• Review: Basic Implicit Differentiating Skills

• Identifying Mistakes: Pair Discussion

• More Practice Examples: Pair Work

• Worksheet Submission: DingTalk Page

• Summary

Review

​Implicit Differentiation

Multiple Choice

Differentiate $$y^5$$   with respect to $$x$$  .

• $$5y^4\frac{\text{d}y}{\text{d}x}$$  

• $$y^5\frac{\text{d}y}{\text{d}x}$$  

• $$5y^4\text{}$$  

• $$y^4\frac{\text{d}y}{\text{d}x}$$  

Multiple Choice

Differentiate $$x\cos\left(2y\right)$$   with respect to $$x$$  .

• $$-2x\sin\left(2y\right)\frac{\text{d}y}{\text{d}x}+\cos\left(2y\right)$$  

• $$-x\sin\left(2y\right)\frac{\text{d}y}{\text{d}x}+\cos\left(2y\right)$$  

• $$2\cos\left(2y\right)\frac{\text{d}y}{\text{d}x}$$  

• $$-2x\sin\left(2y\right)\text{d}+2\cos\left(2y\right)$$  

Multiple Choice

Find $$\frac{\text{d}y}{\text{d}x}$$  for $$2x^2+5xy+y^2=8$$ .

• $$\frac{\text{d}y}{\text{d}x}=-\frac{4x+5y}{5x+2y}$$  

• $$\frac{\text{d}y}{\text{d}x}=-\frac{4x}{5x+2y}$$  

• $$\frac{\text{d}y}{\text{d}x}=-\frac{4x+8}{5x+2y}$$  

• $$\frac{\text{d}y}{\text{d}x}=-\frac{4y+5x}{5y+2x}$$  

​Identify mistake

​Implicit Differentiation

​Example on how to do the activity (identifying mistake/s)

Open Ended

Identify the line number where the student made a mistake and explain how you would correct that mistake. (just identify one mistake)

​Upload your worksheets in our Ding page and write a summary of key learning points in your notebook

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