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If the gradient is a positive number the curve is increasing, and if the gradient is a negative number it is decreasing.

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Q: How want to know that the gradient of a curve in displacement-time graph is increasing or decreasing?
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How can you tell whether the gradient of a curve is increasing or decreasing?

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.


How you know that the gradient of a curve increasing or decreasing?

Graph it - if it's curving up then the gradient is increasing. OR take it's derivitive.


Types of opportunity cost using production possibility curve?

constant, decreasing and increasing


How can the production possibilities curve illustrate opportunity cost?

It shows weather the item you are talking about is increasing or decreasing.


How does a production possibilities curve illustrate Opportunity costs?

It shows weather the item you are talking about is increasing or decreasing.


Explain 'u' shape of ac curve?

asthe current is continuosly changing in a uniform manner alternatively increasing and decreasing.


Why is the Marginal cost curve downward sloping?

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 derivative finds the of a curve?

The gradient of the tangents to the curve.


What is the gradient of a sine curve?

Cosine


How to calculate the gradient from the non linear graph?

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


How does the law of variable proportion affect the cost curve?

As we know law of variable proportion means as we increase the quantity of one input keeping other input fix... the Total physical product increase @ increasing rate than increase at decreasing rate than at decreasing rate.... and cost curve is totally dependent upon total variable cost curve.... so if the output is increasing this is due to increase in variable factors( labors) and if labors increase the cost will be obviously more as the labor increase....+


What is the gradient of the tangent to the curve at x equals 2 if Y equals x2?

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.