define diffrenciation and integration
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Differentiation and integration. Differentiation is the essence of Calculus. A derivative is defined as the instantaneous rate of change in function based on one of its variables. ... If y = f(x) is a function in x, then the derivative of f(x) is given as dy/dx . This is known as the derivative of y with respect to x.
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Differentiation is used to find instantaneous speed and slope of a straight line as well as a curved line. A derivative is defined as instantaneous rate of change in a function with respect to one of it's variable. If f(x) = y, the it's derivative is shown by dx/dy or x'. To find slope of a line, use the formula
m= ∆y/∆x where ∆y = y2-y1 where y1 and y2 are y-coordinates of line and ∆x = x2-x1 where x1 and x2 are x-coordinates of line. To find slope of curve at any point, draw tangent line to that point and find the slope.
Integration is used to find area under a curve, such as a parabola, and other curved shapes. To find area under a parabola, a big ∆ is drawn inside it. Then more isosceles triangles are drawn to fill the remaining space. To find area of a curve shape, rectangles and squares are used.
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m= ∆y/∆x where ∆y = y2-y1 where y1 and y2 are y-coordinates of line and ∆x = x2-x1 where x1 and x2 are x-coordinates of line. To find slope of curve at any point, draw tangent line to that point and find the slope.
Integration is used to find area under a curve, such as a parabola, and other curved shapes. To find area under a parabola, a big ∆ is drawn inside it. Then more isosceles triangles are drawn to fill the remaining space. To find area of a curve shape, rectangles and squares are used.
Please... mark me as brainliest.
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