The Taylor Series of a real or complex-valued function f(x) that is infinitely differentiable at a real or complex number a is the power series; this serves as a way to approximate a polynomial

The Taylor Series of a real or complex-valued function f(x) that is infinitely differentiable at a real or complex number a is the power series; this serves as a way to approximate a polynomial

Further Maths Interest - Weierstrass Function

Further Maths Interest - Weierstrass Function

How to differentiate a non-differentiable function

How to differentiate a non-differentiable function

Differentiable function - Wikipedia

Differentiable function - Wikipedia

Theory and Applications of Differentiable Functions of Several Variables by S. M. Nikolskii Download

Theory and Applications of Differentiable Functions of Several Variables by S. M. Nikolskii Download

When is a function NOT differentiable.  (Video from Khan Academy)

When is a function NOT differentiable. (Video from Khan Academy)

non differentiable function

non differentiable function

In particular, any differentiable function must be continuous at every point in its domain.

In particular, any differentiable function must be continuous at every point in its domain.

Piecewise Functions Worksheet | Continuous Everywhere but Differentiable Nowhere

Piecewise Functions Worksheet | Continuous Everywhere but Differentiable Nowhere

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