• Differential calculus

*

• Differentiation rules
• Quantum calculus

A

• Adjoint equation
• Automatic differentiation

B

• Binomial differential equation

C

• Checkpointing scheme
• Convenient vector space
• Crinkled arc

D

• Darboux derivative
• Deal.II
• Derivative
• Derivative test
• Difference quotient
• Differentiable programming
• Differentiable vector–valued functions from Euclidean space
• Differential (mathematics)
• Differential calculus over commutative algebras
• Differential coefficient
• Differential of a function
• Differential-algebraic system of equations
• Differentiation in Fréchet spaces
• Differentiation of trigonometric functions
• Directional derivative

E

• Eigenvalue perturbation
• Euler–Poisson–Darboux equation

F

• Faà di Bruno's formula
• Fermat's theorem (stationary points)
• Flat function
• Fluent (mathematics)
• Fluxion
• Functional derivative
• Fundamental increment lemma
• Fundamental matrix (linear differential equation)

G

• Gradient

H

• Hessian automatic differentiation
• Hyperbolic angle

I

• Implicit function
• Inexact differential equation
• Infinite-dimensional vector function
• Infinitely near point
• Inflection point
• Institutiones calculi differentialis

J

• Jacobian matrix and determinant

L

• Laplace transform applied to differential equations
• Leibniz integral rule
• Leibniz's notation
• Limit (mathematics)
• Linear approximation
• Linearity of differentiation
• Linearization
• Logarithmic derivative
• Logarithmic differentiation

M

• Method of Fluxions
• Metric derivative

N

• Notation for differentiation
• Numerical differentiation

O

• Ordinary differential equation

P

• Parametric derivative

Q

• Q-derivative

R

• Racetrack principle
• Reduced derivative
• Related rates

S

• Second derivative
• Semi-differentiability
• Skew gradient
• Stationary point
• Straightening theorem for vector fields
• Symmetric derivative
• Symmetrically continuous function

T

• Third derivative
• Time derivative
• Time evolution of integrals
• Total derivative