define derivative (1st and 2nd) both in words and in mathematical
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define derivative (1st and 2nd) both in words and in mathematicalsymbols
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For function fx 1 The meaning of 1st derivative The first derivative of the function fx which we write as fx or as dfdx is the slope of the tangent line to the function at the point x To put this in nongraphical terms the first derivative tells us how whether a function is increasing or decreasing and by how much it is increasing or decreasing This information is reflected in the graph of a function by the slope of the tangent line to a point on the graph which is sometimes describe as the slope of the function Positive slope
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