# find the gradient to the curve at these points

• Apr 14th 2012, 03:41 AM
bobmarly12345
find the gradient to the curve at these points
find the gradient of the curve y=3x^4-2x²+5x-2 at the points (0,-2) and (1,4)

do i just differentiate once? its been years since ive done this, any help? cheers
• Apr 14th 2012, 04:35 AM
earboth
Re: find the gradient to the curve at these points
Quote:

Originally Posted by bobmarly12345
find the gradient of the curve y=3x^4-2x²+5x-2 at the points (0,-2) and (1,4)

do i just differentiate once? its been years since ive done this, any help? cheers

1. That's correct: Differentiate wrt x.

2. Plug in the x-coordinate of the point to get the gradient.

3. That's all!
• Apr 14th 2012, 06:06 AM
HallsofIvy
Re: find the gradient to the curve at these points
But, again, why is this calculus problem posted under "Number Theory"?
• Apr 14th 2012, 10:09 PM
hollywood
Re: find the gradient to the curve at these points
The term "gradient" is normally used for a function of at least two variables. For the single-variable case, we use "slope".
• Apr 15th 2012, 06:17 AM
HallsofIvy
Re: find the gradient to the curve at these points
Quote:

Originally Posted by hollywood
The term "gradient" is normally used for a function of at least two variables. For the single-variable case, we use "slope".

That is the case in the United States. In Britain, "gradient" is typically used to mean what, in the United States, would be the "slope" or "derivative".
• Apr 15th 2012, 08:55 PM
hollywood
Re: find the gradient to the curve at these points
I wasn't aware of that. I'm actually surprised.

Thanks!!

- Hollywood