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The gradient in differentiation represents the instantaneous rate of change or the slope of a curve at a specific point. It is calculated by finding the derivative dy/dx of a function and substituting a specific x-value. Geometrically, it is the slope of the tangent line to the curve at that point.
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Coordinates in math are a pair (or set) of numbers, written as (x,y), that define the exact location of a point on a 2D plane or grid, relative to a reference point called the origin (0,0). The first number (x-coordinate) indicates horizontal position, while the second (y-coordinate) indicates vertical position.
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Find the coordinates of the point on the given curve at which its gradient has the given value y=x+1/x, gradient =2
Find the coordinates of the point(s) om the given curve at which its gradient has the given value
y=x³+x², gradient =1
Find the gradient of the curve at the given point on the curve
y=1-1/x at the point where x=3
