Calculus!
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Post Fiend
Joined: Jun 2004
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From: Joppa, Maryland
Calculus!
I have a question I was hoping someone could help me out with:
use implicite differentiation to find y' of
xy=y^3+x^3
so would it be..
(1y) + (xy') = (3y^2)y' + 3x^2
xy' - (3y^2)y' = 3x^2 - y
xy' - y' = (3x^2 - y) / 3y^2
then..?
am I on the right track here?
also, x=sin(y) find y'... would it just be cos (y)?? or do i use the chain rule?
thanks for any help, i'd appreciate it if you would explain how you come up with an answer so I can try to figure out what i'm doing also.
use implicite differentiation to find y' of
xy=y^3+x^3
so would it be..
(1y) + (xy') = (3y^2)y' + 3x^2
xy' - (3y^2)y' = 3x^2 - y
xy' - y' = (3x^2 - y) / 3y^2
then..?
am I on the right track here?
also, x=sin(y) find y'... would it just be cos (y)?? or do i use the chain rule?
thanks for any help, i'd appreciate it if you would explain how you come up with an answer so I can try to figure out what i'm doing also.
Last edited by captain p4; Oct 11, 2006 at 08:11 PM.
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Joined: May 2003
Posts: 2,561
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From: Earth
Here's your answer:
Differentiate with respect to x,
xy' + y = (3y^2)y' + 3x^2
then solve for y':
y'(x - 3y^2) = 3x^2 -y
y' = (3x^2 -y) / (x - 3y^2)
Does that help?
I'm going to leave the Trig. function up to you or you'll never learn.....
Differentiate with respect to x,
xy' + y = (3y^2)y' + 3x^2
then solve for y':
y'(x - 3y^2) = 3x^2 -y
y' = (3x^2 -y) / (x - 3y^2)
Does that help?
I'm going to leave the Trig. function up to you or you'll never learn.....
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Joined: May 2003
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From: Earth
Alright, I can't resist, here's your Trig function...I'm a little rusty, so it may not be all right:
Differentiate with respect to x:
1 = cos(y)y'
then solve for y':
y' = 1 / cos(y)
or
y' = sec(y)
Differentiate with respect to x:
1 = cos(y)y'
then solve for y':
y' = 1 / cos(y)
or
y' = sec(y)
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Post Fiend
Joined: Jun 2004
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From: Joppa, Maryland
thanks 53, i looked a little harder at my notes and those are the answers i came up with.
i hate trig functions ughhhh
is the third differential of y=sin(3x) y'''=-27 cos (3x)?
i hate trig functions ughhhh
is the third differential of y=sin(3x) y'''=-27 cos (3x)?
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Cargo Master
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From: Earth
Originally Posted by captain p4
thanks 53, i looked a little harder at my notes and those are the answers i came up with.
i hate trig functions ughhhh
is the third differential of y=sin(3x) y'''=-27 cos (3x)?
i hate trig functions ughhhh
is the third differential of y=sin(3x) y'''=-27 cos (3x)?
What's your major?
Last edited by 53fatfndr; Oct 11, 2006 at 09:27 PM.
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Post Fiend
Joined: Jun 2004
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From: Joppa, Maryland
mechanical engineering, i'd like to get into automotive engineering.
but we'll see what happens, I don't know if this college thing is for me or not just yet.
what about you?
but we'll see what happens, I don't know if this college thing is for me or not just yet.
what about you?
Last edited by captain p4; Oct 11, 2006 at 09:30 PM.
Cargo Master
Joined: May 2003
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From: Earth
Originally Posted by captain p4
mechanical engineering, i'd like to get into automotive engineering.
but we'll see what happens, I don't know if this college thing is for me or not just yet.
but we'll see what happens, I don't know if this college thing is for me or not just yet.
I'm guessing you'll have to take Statistics as well .....Thing is, you take all these math classes and then you start in on the Engineering classes. I like to say that all Engineering classes are math classes. It doesn't matter what class it is, it's all numbers and calculations.Good luck, and I hope I was right. It's been a few years since I did Implicite Differentiation
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From: Lewiston, Idaho
Originally Posted by 53fatfndr
Mmm, yes, Mechanical. I'm getting close to finishing my Civil Engineering degree. The math just gets worse. I remember Calc I, it wasn't too bad. Calc II was the hardest for me. Calc. III which was Multivariable Vector Calculus was pretty tough as well. Then comes Ordinary Differential Equations....and depending on how your school does it, it could be ODE with or without Matrix theory, (linear algebra). I had the ODE with matrix theory...tough class, I had to take it twice. I'm guessing you'll have to take Statistics as well .....Thing is, you take all these math classes and then you start in on the Engineering classes. I like to say that all Engineering classes are math classes. It doesn't matter what class it is, it's all numbers and calculations.
Good luck, and I hope I was right. It's been a few years since I did Implicite Differentiation
I'm guessing you'll have to take Statistics as well .....Thing is, you take all these math classes and then you start in on the Engineering classes. I like to say that all Engineering classes are math classes. It doesn't matter what class it is, it's all numbers and calculations.Good luck, and I hope I was right. It's been a few years since I did Implicite Differentiation
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From: MA
Originally Posted by captain p4
mechanical engineering, i'd like to get into automotive engineering.
but we'll see what happens, I don't know if this college thing is for me or not just yet.
what about you?
but we'll see what happens, I don't know if this college thing is for me or not just yet.
what about you?
I had that stuff a few years ago when I went for Electrical Engineering degree and never used it again.. Thank God...
Differential Equations was easier than Calculus IMHO..