geometrical applications of calculus/differentiation? (1 Viewer)

[gelo]

my exam sheet says that we need to know geometrical applications of CALCULUS for the half-yearly..
my Excel 2u study guide book only has a section on geometrical applications of DIFFERENTIATION..

ARE THEY THE SAME THING?

-gelo

 

[SoulSearcher]

When they say geometrical applications of calculus, they would usually mean geometrical applications of differentiation, i.e. sign of derivatives, curve sketching, maximum and minimum problems, tangents and normals etc. It would be safe to assume that they are both the same thing.

 

[Riviet]

Yes, they're on the same topic, differentation is part of calculus. Integration is the other part and not important in this part of the course.

 

[gelo]

i came upon this example in my book:
........
.......
1. f ''x = 32x . d/dx((2xsqrd + 5)pwrof7) + (2xsqrd + 5)pwrof7 . d/dx(32x)
2. = 32x . 7(2xsqrd + 5)pwrof6 . 4x + (2xsqrd + 5)pwrof7 . 32
3. = 32(2xsqrd + 5)pwrof6 (28xsqrd + (2xsqrd + 5))

it is the working from line 2 to line 3 that i dont understand. how did line 2 become line 3?

 

[Riviet]

It took a common factor of 32(2x²+5)⁶ out. If you still can't see it, expand line 3 a little, and you should get line 2.

 

[Slidey]

BTW, "to the power of" is denoted by ^.

2^3 = 8
3^2 = 9

 

[gelo]

tnx

 

[Annum]

Can someone please please help me with this question?

If f''(x)= 15x+12, and f(2)=f'(2)=5, find f(x)
THANKYOUUU!

 

[SpiralFlex]

Can someone please please help me with this question?

If f''(x)= 15x+12, and f(2)=f'(2)=5, find f(x)
THANKYOUUU!

 

[Annum]

thankyou for this, i really appreciate it, but i dont get the concept behind this question, like what are we finding and why, im so stressed out about this

 

[SpiralFlex]

Okay, we utilise this form, finding the primitive of a function say



Have you learnt the concept of that yet?

 

[Annum]

no we are going through primitive function tomorrow in class, we havnt touched that yet

Okay, we utilise this form, finding the primitive of a function say



Have you learnt the concept of that yet?

 

[SpiralFlex]

Then I don't understand why you are attempting this question. Anyway, I need to go very soon. If you want me to explain the process PM here (I will reply tonight or early morning) or wait for someone to post here.

Off Englishing!

 

[Annum]

Really, oh my god i was just about to burst into tears because i had no clue, im really sorry about this, im probably over stressing

Then I don't understand why you are attempting this question.

 

[SpiralFlex]

No need to panic!

 

[Annum]

thats a really cute picture, thankyou

No need to panic!

 

[SpiralFlex]

Remember you have plenty of resources available. Stressing is a no no. YOU CAN DO IT YOUNG GRASSHOPPER!

RAWR!