Simpsons Rule

• Formula given• Watch out for radians• Part b always linked to

part a

Trig Equations

Can’t change

• Use tan2x + 1 = sec2x

Or 1 + cot2x = cosec2x• 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 d2y/dx2 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 V2

Iteration

Radians

• Start with x0

• This creates x1 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