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derivative

Derivative

A function which gives the slope of a curve; that is, the slope of the line tangent to a function. The derivative of a function f at a pointx is commonly written f '(x). For example, if f(x) = x3 then f '(x) = 3x2. The slope of the tangent line when x = 5 is f '(x) = 3·52 = 75.

 

 

 

See also

Difference quotient, limit, derivative rules, differentiable, differentiation, continuously differentiable

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