Differentiable function

Definition

In mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain. In other words, the graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function is smooth and does not contain any break, angle, or cusp.

Related concepts

Absolute value Almost everywhere Analytic function Automatic differentiation Boundary (topology)Classification of discontinuities Complex analysis Complex number Computational learning theory Continuous function Cusp (singularity)Darboux's theorem (analysis)Derivative Differentiable manifold Differentiable programming Differentiation rules Directional derivative Domain of a function Flux (machine-learning framework)Function (mathematics)Function of several real variables Fundamental increment lemma Generalizations of the derivative Graph of a function Graphcore Holomorphic function Inductive bias Information geometry Intermediate value theorem JAX (software)Jacobian matrix Jump discontinuity Keras Linear function Linear map Mathematics Meagre set Memristor MindSpore Multivariable calculus Neighbourhood (mathematics)Neuromorphic computing Partial derivative Pattern recognition PyTorch Real-valued function Real number Ricci calculus Scikit-learn Second derivative Semi-differentiability Smooth function Smoothness SpiNNaker Statistical manifold Stefan Banach Studia Mathematica Tangent line TensorFlow Tensor Processing Unit Theano (software)There exists Vertical tangent Vision processing unit Weierstrass function

9 concepts already in your glossary