0
The gradient of a quantity is the greatest rate at which it changes as you move in
different directions from where you are now. If the quantity has a negative gradient,
that means that the quantity decreases in that direction.
A great example of a negative gradient is the elevation of the land at a point on a
road that has a hill on one side and a cliff on the other side.
The greatest rate at which the elevation changes is in the direction off the edge of
the cliff, and it's negative in that direction.
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
What is a synonym for gradient?
A graded change in the magnitude of some physical quantity or dimension
Why the second derivative negative for Maxima?
When you solve for the 2nd derivative, you are determining whether the function is concave up/down. If you calculated that the 2nd derivative is negative, the function is concave down, which means you have a relative/absolute maximum, given that the 1st derivative equals 0. To understand why this is, think about the definition of the 2nd derivative. It is a measure of the rate of change of the gradient. At a maximum, the gradient starts positive, becomes 0 at the maximum itself and then becomes negative, so it is decreasing. If the gradient is going down, then its rate of change, the 2nd derivative, must be negative.
What is the answer to the problem X cubed plus six x squared plus three x plus one divided by x minus two?
Your answer will depend on the parameters of the instructions. If you're looking for the first derivative, simply use the product rule by changing the denominator to a negative exponent and bringing it up (take the negative square root of the quantity x-2 to the top). Then, follow the rules of calculus and algebra. Wow, that's a mess. Let's see... you get "the quantity x cubed plus 6x squared plus 3x plus 1 times the quantity -1(x-2) raised to the negative second plus the quantity x-2 raised to the negative first times the quantity 3x squared plus 12x plus 3." This is because of the Product Rule. Simplifying (by factoring out (x-2) raised to the negative second and combining like terms) gives us "(x-2) raised to the negative second times the quantity 2x cubed minus 24x minus 7." This can also be written as "2x cubed minus 24x minus 7 all over the quantity x-2 squared." f'(x)= 2x^3-24x-7 (x-2)^2
What is the correct definition of stream gradient?
A stream gradient is the grade measure by the ratio of drop in elevation of a stream. It is expressed as feet per mile.
How do you find the gradient of y equals 2x plus 3?
It's 2. your equation is y=mx+b, so the gradient, or slope, is the "m" in the equation.
What does a positive and a negative gradient look like?
A positive gradient goes uphill from left to right A negative gradient goes downhill from left to right
What is the negative reciprocal of a slope?
The negative reciprocal of any gradient gives the gradient of the line perpendicular to it. If you had a line of gradient 2, the negative reciprocal would be -1/2 Just change the sign on the number and flip the number/fraction to get the negative reciprocal.
What is fluid gradient?
Usually a fluid gradient refers to the pressure gradient in any kind of fluid. It is a quantity that shows which direction and how fast the pressure changes around a location.
When either the run or rise are negative the line is?
one with a negative gradient.
Why do you measure the gradient of a river in negative numbers?
Well, we could speculate. We do notice that from any point, the river always flows in the direction of the negative gradient ... that is, the direction of the greatest negative slope.
Will the gradient of y equals -x plus 1 be positive or negative?
negative
What is meant by the term gradient?
Difference in concentration of a substance at 2 areas is called gradient , and it allows diffusion .
What is a synonym for gradient?
A graded change in the magnitude of some physical quantity or dimension
What is the physical significance of gradient of any physical quantity?
the gradient of a scalar function of any quantity is defined as a vector field having magnitude equal to the maximum space rate of change of the quantity and having a direction identical with the direction of displacement along which the rate of change is maximum.
What have the gradient of two perpindicular lines got in common?
The gradient of one multiplied by the gradient of the other would always yield -1, that is the gradient of one would be the negative reciprocal of the other.
Does the line of best fit have to have a positive gradient?
Not at all. If the two variables have a negative correlation, that is as on increases the other decreases, then the line of best fit would have a negative gradient.
How want to know that the gradient of a curve in displacement-time graph is increasing or decreasing?
If the gradient is a positive number the curve is increasing, and if the gradient is a negative number it is decreasing.
