If the gradient is a positive number the curve is increasing, and if the gradient is a negative number it is decreasing.
Cosine
Draw a tangent to the curve at the point where you need the gradient and find the gradient of the line by using gradient = up divided by across
You find the gradient of the curve using differentiation. The answer is 0.07111... (repeating).
A tangent is a line that just touches a curve at a single point and its gradient equals the rate of change of the curve at that point.
Calculate the gradient of the curve which will give the acceleration. Change the sign of the answer to convert acceleration into retardation.
Differentiate the curve twice and then enter a value for x. If the answer is positive, the gradient is increasing at that point. If the answer is negative, the gradient is decreasing at that point. And if the answer is zero, the gradient is not changing.
Graph it - if it's curving up then the gradient is increasing. OR take it's derivitive.
constant, decreasing and increasing
It shows weather the item you are talking about is increasing or decreasing.
It shows weather the item you are talking about is increasing or decreasing.
asthe current is continuosly changing in a uniform manner alternatively increasing and decreasing.
Marginal cost curve is u-shaped curve, this is due to law of variable proportion(return to factors), firstly, there is an increasing return (i.e, decreasing cost) then there is a stage of constant returns (i.e, constant cost) then lastly comes the stage of decreasing returns (i.e increasing cost), that`s why marginal cost curve first slopes downward and then slope upward and become u-shaped.
The gradient of the tangents to the curve.
Cosine
Draw a tangent to the curve at the point where you need the gradient and find the gradient of the line by using gradient = up divided by across
As more inputs of production are switched from the production of one good to another, their marginal output is decreasing (see: diminishing returns to capital).
Gradient to the curve at any point is the derivative of y = x2 So the gradient is d/dx of x2 = 2x. When x = 2, 2x = 4 so the gradient of the tangent at x = 2 is 4.