Trig Differentiation KUS objectives BAT differentiate trig functions

Trig Differentiation • KUS objectives BAT differentiate trig functions using what we have learned so far BAT differentiate mixed trig, exponential, logarithm and other functions Starter: Sketch the graphs of sinx, cos x tan x Where are the stationary points on sinx, cos x tan x ? Sketch graphs of arcsin x, arccos x, arctan x Check on Desmos / Geogebra

Gradients I: Trig Graphs The gradient function of: 0. 5 1 0 y = cosx -0. 5 y = sinx gradients -1 1 -0. 5 0 0. 5

If: Then:

Use the product rule WORKING OUT SPACE

Use the product rule WORKING OUT SPACE

Use the quotient rule WORKING OUT SPACE

WB 21 Find the derivative of tan x Quotients Rule! Use the quotient rule WORKING OUT SPACE

WORKING OUT SPACE Chain rule Use the product rule WORKING OUT SPACE Product rule

Use the quotient rule Use the product rule WORKING OUT SPACE Quotient rule WORKING OUT SPACE Product rule

Use the product rule Use the quotient rule WORKING OUT SPACE Product rule WORKING OUT SPACE Quotient rule

• KUS objectives BAT differentiate trig functions using what we have learned so far BAT differentiate mixed trig, exponential, logarithm and other functions self-assess using: R / A / G ‘I am now able to ____. To improve I need to be able to ____’