Partial differentiation

The partial differential operator

Differentiating constants, the identity function, and linear functions

Partial differentiation is a linear operator

The chain rule, the product rule and the quotient rule

Differentiating natural number power functions

L'Hôpital's rule

Rolle's theorem

Mean value theorem

Elasticity

Smooth functions

Analytic functions

Higher-order differentials

Differentiable functions

Critical points

Exponentials

Defining \(e\) as a binomial

Differentiating \(e^x\)

Differentiating exponents, logarithms and power functions

Integration

Riemann integral

Definite and indefinite integration

Anti-derivatives

Integration by parts

Integration

Fundamental theorem of calculus