Calculus Help (1 Viewer)

[Mohit7]

The Question is diferentiate using the product rule.

2 3
x (x+1)

 

[pLuvia]

If that x²(x+1)³?, if so:
d/dx[x²(x+1)³]
=2x(x+1)³+3x²(x+1)²

 

[ice ken]

The Question is diferentiate using the product rule.

2 3
x (x+1)

wtf... i dont get the question....

is it question 23. x(x+1)

if it is its just x+1 + x = 2x+1

use u'v+uv'
u=x, v =(x+1)

expanding wouldve been quicker

 

[SoulSearcher]

If that x²(x+1)³?, if so:
d/dx[x²(x+1)³]
=2x(x+1)³+3x²(x+1)²

Which simplifies to x(x+1)²[2(x+1)+3x]
= x(x+1)²[2x+2+3x]
= x(5x+2)(x+1)²

 

[ice ken]

Which simplifies to x(x+1)²[2(x+1)+3x]
= x(x+1)²[2x+2+3x]
= x(5x+2)(x+1)²

do u have to simplify it in sydney cause here we are not suppose in the exam. they say do not simplify the answers unless we need to use them to find like stationary points or points of inflections.

 

[acmilan]

The only reason they'd explicitly tell you not to simplify is probably when doing so would be difficult and/or time consuming.

 

[SoulSearcher]

do u have to simplify it in sydney cause here we are not suppose in the exam. they say do not simplify the answers unless we need to use them to find like stationary points or points of inflections.

Normally over here you would try and simplify it to its simplest factors. And what acmilan said as well.

 

[ice ken]

Normally over here you would try and simplify it to its simplest factors. And what acmilan said as well.

well yeh last yr exam q was 2find dy/dx if y=2x/(x^2+2x+2)
all i did was 2(x^2+2x+2) -2x(2x+2)/(x^2+2x+2)^2. didnt simply top still got marks.

2 more similar ones worth 3 marks and 4 marks for an integration 1. easy marks to scab.

 

[Mohit7]

Which simplifies to x(x+1)²[2(x+1)+3x]
= x(x+1)²[2x+2+3x]
= x(5x+2)(x+1)²

How did you simplify it

 

[Riviet]

Simplifying the derivative can often be helpful when determining stationary points as well as making it easier to find the second derivative or substituting points to test for concavity.

 

[ice ken]

How did you simplify it

common factor= x(x+1)<SUP>2 </SUP>then u get 2(x+1)+3x left over
then thats it....... i think. understand?
<SUP></SUP>
<SUP></SUP>

 

[SoulSearcher]

Yeah, took out the common factor then simplified.

 

[ice ken]

Yeah, took out the common factor then simplified.

i think that was learnt like in year 9 or 10.