Simpsons Rule Formula given Watch out for radians Part b always linked to part a

Trig Equations Can’t change Use tan 2 x + 1 = sec 2 x Or 1 + cot 2 x = cosec 2 x Work through in sec x etc Convert to cos etc at end Bow ties to finish

Parametric Differentiation x and y both in terms of another letter, in this case t Work out dy/dt and dx/dt dy/dx = dy/dt ÷ dx/dt To get d 2 y/dx 2 diff dy/dx again with respect to t, then divide by dx/dt

Implicit Differentiation Product ! Mixture of x and y Diff everything with respect to x Watch out for the product Place dy/dx next to any y diff Put dy/dx outside brackets Remember that 13 diffs to 0

Log Differentiation and Integration Bottom is power of 1 Get top to be the bottom diffed Diff the function Put the original function on the bottom

Exp Differentiation and Integration Power never changes When differentiating, the power diffed comes down When integrating, remember to take account of the above fact

Trig Differentiation and Integration Angle part never changes When differentiating, the angle diffed comes to the front When integrating, remember to take account of the above fact Radians mode

Products and Quotient Differentiation U and V Quotient must be U on top, V on bottom Product: V dU/dx + U dV/dx Quotient: V dU/dx – U dV/dx V 2

Iteration Radians Start with x 0 This creates x 1 etc At the end, use the limits of the number to 4 dp to show that the function changes sign between these values

Modulus Function Get lxl =, then take + and - value Solve 5x+7 between -4 and 4 as inequality

Inverse Functions Write y=function Rearrange to get x= Rewrite inverse function in terms of x

Composite Functions If ln and e function get them together to cancel out