- #1

- 37

- 0

## Homework Statement

show that the tangent line to y=(x

^{2}+x-2)

^{3}+3 at (1,3) is also tangent to the curve at another point

## Homework Equations

## The Attempt at a Solution

dy/dx=3(x

^{2}+x-2)

^{2}(2x+1)

at 1

dy/dx = 0

y=mx+b

b=3

y=3

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- Thread starter hallowon
- Start date

- #1

- 37

- 0

show that the tangent line to y=(x

dy/dx=3(x

at 1

dy/dx = 0

y=mx+b

b=3

y=3

- #2

rock.freak667

Homework Helper

- 6,230

- 31

## Homework Statement

show that the tangent line to y=(x^{2}+x-2)^{3}+3 at (1,3) is also tangent to the curve at another point

## The Attempt at a Solution

dy/dx=3(x^{2}+x-2)^{2}(2x+1)

at 1

dy/dx = 0

y=mx+b

b=3

y=3

Then solving the equations y=3 and y=y=(x

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