The Primitive Function

The Primitive FunctionIf we know the equation of the tangent, how do we find the original curve?

The Primitive Function

cnxxf

xxfn

n

1

is;function primitive then the, If 1

If we know the equation of the tangent, how do we find the original curve?

The Primitive Function

cnxxf

xxfn

n

1

is;function primitive then the, If 1

43 e.g. xxfi

If we know the equation of the tangent, how do we find the original curve?

The Primitive Function

cnxxf

xxfn

n

1

is;function primitive then the, If 1

43 e.g. xxfi

If we know the equation of the tangent, how do we find the original curve?

cxxf 5

3 5

The Primitive Function

cnxxf

xxfn

n

1

is;function primitive then the, If 1

43 e.g. xxfi

If we know the equation of the tangent, how do we find the original curve?

cxxf 5

3 5

256 23 xxxxfii

The Primitive Function

cnxxf

xxfn

n

1

is;function primitive then the, If 1

43 e.g. xxfi

If we know the equation of the tangent, how do we find the original curve?

cxxf 5

3 5

256 23 xxxxfii

cxxxxxf 223

54

6 234

The Primitive Function

cnxxf

xxfn

n

1

is;function primitive then the, If 1

43 e.g. xxfi

If we know the equation of the tangent, how do we find the original curve?

cxxf 5

3 5

256 23 xxxxfii

cxxxxxf 223

54

6 234

cxxxxxf 221

35

23 234

(iii) Find the equation of the curve which passes through (1,1) and has a gradient function of 2x + 3

(iii) Find the equation of the curve which passes through (1,1) and has a gradient function of 2x + 3

32 xdxdy

(iii) Find the equation of the curve which passes through (1,1) and has a gradient function of 2x + 3

32 xdxdy

cxxy 32

(iii) Find the equation of the curve which passes through (1,1) and has a gradient function of 2x + 3

32 xdxdy

cxxy 32

when x = 1, y = 1

(iii) Find the equation of the curve which passes through (1,1) and has a gradient function of 2x + 3

32 xdxdy

cxxy 32

3311 i.e. 2

cc

when x = 1, y = 1

(iii) Find the equation of the curve which passes through (1,1) and has a gradient function of 2x + 3

32 xdxdy

cxxy 32

3311 i.e. 2

cc

332 xxy

when x = 1, y = 1

(iii) Find the equation of the curve which passes through (1,1) and has a gradient function of 2x + 3

32 xdxdy

cxxy 32

3311 i.e. 2

cc

332 xxy

when x = 1, y = 1

Exercise 10J; 1ace etc, 2bdf, 3aceg, 4bd, 5b, 7ac, 8bdf9ace, 10b, 12bd, 14a, 15, 17a