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Level 605

Limits & the Definition of the Derivative


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derivative of sinu
cosu × u'
derivative of cscu
-cscucotu × u'
derivative of cosu
-sinu × u'
derivative of secu
secutanu × u'
derivative of tanu
sec²u × u'
f'(a)= lim h→0 [f(a+h)-f(a)]/h
Limit of definition of the derivative
f'(a)=lim x→a [f(x)-f(a)]/(x-a)
Alternate Limit definition of the derivative
derivative of cotu
-csc²u × u'
Chord
is a segment whose endpoints lie on the circle
Derivative
limit as h approaches 0 of {ƒ(x+h) - ƒ(x)}/h
Derived function
The rule, f ′, which gives the gradient of a function, f, at a general point.
Differentiation
The process or operation of determining the first derivative of a function.
Gradient
The gradient of a line measures steepness and is the vertical change divided by the horizontal change between any two points on the line. The gradient of a curve at a point is tha…
slope
(y₂-y₁)/(x₂-x₁)
Tangent
A line that just touches a curve at a point.