Home/Differential Calculus/Differentiability/Formula4.4. DifferentiabilityFormulaIn 4.4. DifferentiabilityFormulaCopy LaTeXf′(a) exists ⇔limh→0f(a+h)−f(a)h exists (finite)f'(a)\text{ exists } \Leftrightarrow \lim_{h\to0}\frac{f(a+h)-f(a)}{h}\text{ exists (finite)}f′(a) exists ⇔h→0limhf(a+h)−f(a) exists (finite)TagsDifferential calculusDerivativeDifferentiabilityDerivative formulaVariablesaaaPoint or real constanthhhIncrement in the derivative definitionfffFunctionf′f'f′Derivative of fffFound an error? Contact us.Related formulasRelatedFormulaf is differentiable at a⇒f is continuous at af\text{ is differentiable at }a \Rightarrow f\text{ is continuous at }af is differentiable at a⇒f is continuous at aOpen formulaOpen in section