This theory can be summed up as the theorem that links the concept of differentiating a function with the concept of integrating a function. In other words, the theorem shows that these 2 operations are fundamentally inverses of one another. Take our quiz to practice your knowledge about calculus and see how well you are doing.
The position function
The logarithm function
Optics
Cosinus
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Dx=dt
Dx=v(t)dt
Dt=v(x)dx
Dt=vx
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2
3
4
5
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Definite integrals
The relationship between anti derivatives and definite integrals
Anti derivatives
Function f(x)
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Anti derivatives
The derivative of an anti derivative
Function f(x)
Function lnx
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It states that for a given planar arc between 2 endpoints, there is at least 1 point at which the tangent to the arc is parallel to the secant through its axe
It states that for a given set of endpoints, there is at least 1 point at which the tangent to the arc is parallel to the secant through its endpoints
It states that for a given planar arc between 2 endpoints, there is at least 1 point at which the tangent to the arc is parallel to the secant through its endpoints
It states that for a given planar arc between 2 endpoints, there are at least 3 points at which the tangent to the arc is parallel to the secant through its endpoints
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That the changes in a quantity over time adds up to the net change in quantity
That the sum of infinitesimal changes in a quantity over time adds up to the net change in quantity
That the addition in quantity over a small period of time adds up to the net change in quantity
That a given function f(x) adds up to the net change in quantity
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The continuity on the whole interval
The continuity on the function
The continuity on the window of solutions
The limits of the whole interval
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The Newton-Leibniz axiom
The Pythagoras axiom
The Newton-Leibniz function
The Newton-Leibniz theorem
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