Recapping on Differentiation

Differentiating can help us find the . . .

• .... area under a curve

• ... rate of change at a particular value

• ... gradient of a function

• ... most optimal solution for a function

• ... perpendicular gradient of a straight line

• It is a strictly decreasing function

Why do units disappear when differentiating?

• It is because units don't matter to gradient

• Multiplying by the old index creates a 0 term, always

• Differentiating always makes a function 1 term shorter

• It replaces the +c of integration

The correct order of trig function differentiation is:

• sin(x)

  cos(x)

  -sin(x)

  -cos(x)

• cos(x)

  -cos(x)

  sin(x)

  -sin(x)

• -sin(x)

  cos(x)

  sin(x)

  -cos(x)

• sin(x)

  cos(x)

  -cos(x)

  -sin(x)