Derivative of an integral, explanation and examples
In this video, I will give a complete explanation of how to calculate the derivative of an integral (how to differentiate a function defined by an integral, with variables at the limits of integration), using the fundamental theorem of calculus and the chain rule for derivatives.
Derivatives Course: • Curso Completo de Derivadas
Applications of Derivatives: • Aplicaciones de las DERIVADAS
00:00 Introduction to the problem: Derivative of an integral
00:28 General explanation and analysis of the rule
01:40 Application of the chain rule
03:03 Derivation of the formula to differentiate an integral
03:28 Step-by-step solution to the first exercise
05:14 Step-by-step solution to the second exercise
06:48 Conclusion and acknowledgments
#easymath #integral #calculus
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** BIBLIOGRAPHY **
Single Variable Calculus, Stewart
Calculus, Thomas
Calculus Volume 1, Larson
Calculus, Spivak
Calculus, Juan de Burgos
Simplified Mathematics, by Conamat
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The best calculus course for beginners. Integrals solved step by step. How to solve integrals very easily. Solved examples of integrals. Integration techniques explained with many solved exercises. Free integral calculus course.