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Related lectures (21)
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Chain Rules
Explores the extension of the chain rule to higher dimensions and compositions of functions.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Taylor's Formula: Developments and Extrema
Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.
Derivative Chain Rule
Covers the derivative of the composition of two functions and the chain rule theorem.
Applications of Differential Calculus
Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.
Mathematical Methods for Materials Science: Integrals, Exact Differentials
Explores limits, derivation rules, integrals, and exact differentials for practical applications.
Derivatives and Hyperbolic Functions
Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Derivatives and Continuity in Mathematics
Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.
Riemann Sums and Definite Integrals
Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.