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
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 Key examples: function Gradient function
Differentiate implicitly Rearrange and use identity use chain rule
Rearrange and use identity NOW DO EX 3 C
NOW DO EX 3 D b)
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 –