Try the “Did I forget how to differentiate?” Questions at top Did I?

Try the “Did I forget how to differentiate?” Questions at top

Did I?

The moment of truth

xx 22 23 3xx 34 4xx

18965 523 xxxx 17854 9091215 xxxx

11 vbvb vxbxxx

qxpxqxpx 23 223 11 rtrt crxatxcxax

xxx 2626 45

26830 34 xx

C2 Differentiation

• Know how differentiate for any power as a rational number

• Understand the use of Indices for C2 Diff.• Be able to make use of indices’ rules to

differentiate those fractions & surds

Rule for Differentiation

1 nn anxaxa = constant, n = power

1) Times the constant by the power

2) Minus one from the power


1 nn anxax2x ,1 a 2n

1 2 )( 12x x2



4 5 )( 15x 420x


1 nn anxaxThis equation is a tool for any differentiation question!

Treat this like a machine/tool

Find out what a and n are, and substitute them



1 1 )( 11x 2 x


1 nn anxax

x

1,1 a 1n

2 x

1x

2

1

x


1 nn anxax32 x ,2 a 3n

2 3 )( 13x 46 x


1 nn anxax21x ,1 a 2

1n

1 21 )( 12

1 x 2

1

21 x


1 nn anxax

x ,1 a 21n

21

21 x

x2

1

Indices StuffYou need to know the following:

nnx

x

1nn xx1

nmm

n xx n

m

mn

xx

1

Example

3xy

?dx

dy 43 x

Example

34xy

?dx

dy31

3

4x

Example

43

2 xy

?dx

dy47

4

6 x

Example

xxy

?dx

dy

23xy

21

2

3x

Try out the questions at the bottom

Solutions on the back. Q7 on back for the crazy.

Try out the 3 exam questions on Back

Independent StudyExercise 8A p125 (solution p422) & Exercise 8B p129 (solution p422)

Documents

Try the “Did I forget how to differentiate?” Questions at top Did I?