Differentiating

Rules Your task, in teams, is to answer the differentiation question on the screen. 3 possible answers will be given for each problem. Select the solution that you believe to be correct, by placing your post-it on the answer. 5 Points are awarded for a correct answer. Bonus points will also be awarded as follows: 3 points for being the first team to select the correct answer 2 Points for the second team 1 Point for the third. Only 5 minutes per round, or less if each team has answered. Speed and accuracy is therefore important. Good luck!

Differentiate: 𝑓 𝑥 = 𝑥 2 𝑥−2 Round One Differentiate: 𝑓 𝑥 = 𝑥 2 𝑥−2 𝑥 2 −4𝑥 𝑥−2 2 2𝑥 𝑥(2−𝑥) 𝑥−2

Judges Differentiate: Cancelling Error! Cancelling Error!

Round Two Differentiate:

Expansion error on the numerator Judges Differentiate: Did UV’ – VU’ Not VU’ – UV’ Expansion error on the numerator

Round Three Find the value of dy/dx at (1, 0.25) for:

You’ve not differentiated! Judges Find the value of dy/dx at (1, 0.25) for: UV’ – VU’ not VU’ – UV’ You’ve not differentiated!

Round Four Differentiate:

Negative error on numerator Forgot to square v on the denominator Judges Differentiate: Negative error on numerator - x - = + !! Forgot to square v on the denominator

Round Five Differentiate:

Did VV’ – UU’ not VU’ – UV’ Mistake when squaring v on denominator Judges Differentiate: Did VV’ – UU’ not VU’ – UV’ Mistake when squaring v on denominator