FM Methods in Calculus inverse trig functions KUS

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FM Methods in Calculus: inverse trig functions KUS objectives BAT differentiate and integrate inverse

FM Methods in Calculus: inverse trig functions KUS objectives BAT differentiate and integrate inverse trig functions using techniques from A 2

 Differentiate implicitly Rearrange and use identity

Differentiate implicitly Rearrange and use identity

 Differentiate implicitly Rearrange and use identity Differentiate implicitly

Differentiate implicitly Rearrange and use identity Differentiate implicitly

Notes Implicit differentiation For some equations it is impossible to rearrange to give y

Notes Implicit differentiation For some equations it is impossible to rearrange to give y = f(x) and hence differentiate. One approach is to use the chain rule to differentiate each term without rearrangement For example differentiate y 2 Now we can do

One approach is to use the chain rule to differentiate each term without rearrangement

One approach is to use the chain rule to differentiate each term without rearrangement Key examples: function Gradient function

 Differentiate implicitly Rearrange and use identity use chain rule

Differentiate implicitly Rearrange and use identity use chain rule

 Rearrange and use identity NOW DO EX 3 C

Rearrange and use identity NOW DO EX 3 C

NOW DO EX 3 D b)

NOW DO EX 3 D b)

KUS objectives BAT differentiate and integrate inverse trig functions using techniques from A 2

KUS objectives BAT differentiate and integrate inverse trig functions using techniques from A 2 self-assess One thing learned is – One thing to improve is –

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