Category:Differential Calculus
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This category contains results about Differential Calculus.
Definitions specific to this category can be found in Definitions/Differential Calculus.
Differential calculus is the subfield of calculus which is concerned with the study of the rates at which quantities change.
Also see
Subcategories
This category has the following 43 subcategories, out of 43 total.
C
- Cauchy Mean Value Theorem (6 P)
D
- Derivative of Arc Length (3 P)
- Derived Equations (empty)
E
- Extended Mean Value Theorem (5 P)
F
- Faà di Bruno's Formula (14 P)
I
- Inverse Function Theorem (3 P)
J
- Jacobian Determinants (empty)
L
- Leibniz's Rule (13 P)
M
P
Q
R
- Rate of Change (empty)
S
- Sum Rule for Derivatives (4 P)
Pages in category "Differential Calculus"
The following 86 pages are in this category, out of 86 total.
C
D
- Derivative at Maximum or Minimum
- Derivative Function is not Invertible
- Derivative Function on Set of Functions induces Equivalence Relation
- Derivative iff Right and Left Derivative
- Derivative of Arc Length
- Derivative of Composite Function
- Derivative of Curve at Point
- Derivative of Even Function is Odd
- Derivative of Function plus Constant
- Derivative of Function to Power of Function
- Derivative of Geometric Sequence
- Derivative of Geometric Sequence/Corollary
- Derivative of Inverse Function
- Derivative of Monotone Function
- Derivative of Odd Function is Even
- Derivative of Periodic Real Function
- Derivative of Power of Function
- Derivative of Scalar Triple Product of Vector-Valued Functions
- Derivative of Strictly Increasing Real Function is Strictly Positive
- Derivative of Uniformly Convergent Sequence of Differentiable Functions
- Derivative of Uniformly Convergent Series of Continuously Differentiable Functions
- Derivative of Vector Triple Product of Vector-Valued Functions
- Derivatives of Function of a x + b
- User:Dezhidki/Sandbox
- Differentiability of Function with Translation Property
- Differentiable Bounded Concave Real Function is Constant
- Differentiable Bounded Convex Real Function is Constant
- Differentiation of Real Power Series
- Differentiation of Real Power Series/Corollary
- Differentiation of Vector-Valued Function Componentwise
- Differentiation on Polynomials is Linear Operator
- Dot Product of Constant Magnitude Vector-Valued Function with its Derivative is Zero
- Dot Product of Vector-Valued Function with its Derivative
- Double Root is Root of First Derivative of Equation but not Second Derivative
E
- Epsilon-Function Differentiability Condition
- Equivalence Classes induced by Derivative Function on Set of Functions
- Equivalence of Definitions of Derivative
- Even Order Derivative of Odd Function Vanishes at Zero
- Exponential Function is Differentiable
- Extendability Theorem for Derivatives Continuous on Open Intervals
- Extended Mean Value Theorem
L
M
N
P
R
- Real Function is Concave iff Derivative is Decreasing
- Real Function is Convex iff Derivative is Increasing
- Real Function is Strictly Concave iff Derivative is Strictly Decreasing
- Real Function is Strictly Convex iff Derivative is Strictly Increasing
- Real Function with Negative Derivative is Decreasing
- Real Function with Positive Derivative is Increasing
- Real Function with Strictly Negative Derivative is Strictly Decreasing
- Real Function with Strictly Negative Second Derivative is Strictly Concave
- Real Function with Strictly Positive Derivative is Strictly Increasing
- Real Function with Strictly Positive Second Derivative is Strictly Convex
- Right-Hand Derivative not Limit of Derivative from Right
S
- Second Derivative at Point of Inflection
- Second Derivative of Concave Real Function is Non-Positive
- Second Derivative of Convex Real Function is Non-Negative
- Slope of Curve at Point equals Derivative
- Subspace of Real Differentiable Functions
- Sum Rule for Derivatives
- Sum Rule for Derivatives/General Result