Derivative Rules For Calculus 1


What you'll learn
Derive using definition of derivative.
Derive using product rule.
Derive using power rule.
Derive using quotient rule.
Derive using chain rule.
Implicit differentiation.
Implicit differentiation twice.
Logarithmic differentiation.
Deriving of natural exponential function.

Requirements
Algebra 2 or high school level algebra

Description
This course will go over all the derivative rules for your calculus 1, calculus ab, and business calculus class. I will specifically go over two forms of deriving using definition of derivative. I will teach how to derive using product rule, and when to use product rule, and how label your correct f and g. I will go over power rule, what is power rule, and how to derive power rule. I will go over quotient rule, and when to use quotient rule. I will go more complex derivative such chain rule, and the different form of chain rule. How to derive chain rule using u - substitution, and alternative form of chain rule. I will go over what is implicit differentiation and explain the difference between implicit and explicit form. I will go over what is implicit differentiation twice, and all the steps for taking implicit differentiation twice. I will go over logarithmic differentiation, and when to use logarithmic differentiation. I will explain the difference between natural exponential function, and logarithmic differentiation. I will go over problems when you have to use more than one derivative rule. Finally go over deriving of natural exponential function. Each section has a quiz, and practice problems you can do before quiz.

Overview
Section 1: Introduction
Lecture 1 Deriving Using Definition Of Derivative
Section 2: Quiz 1
Lecture 2 Quiz on Deriving Using Definition Of Derivative
Section 3: Deriving Using Power Rule
Lecture 3 Deriving Using Power Rule
Section 4: Quiz On Deriving Using Power Rule.
Lecture 4 Quiz on power rule
Section 5: Deriving Using Product Rule.
Lecture 5 Product Rule
Section 6: Quiz On Product Rule
Lecture 6 quiz on product rule
Section 7: Deriving Using Quotient Rule
Lecture 7 quotient rule
Section 8: Quiz On Quotient Rule
Lecture 8 quiz on quotient rule
Section 9: Deriving Using Chain Rule
Lecture 9 chain rule
Section 10: Part 2 Of Deriving Using Chain Rule
Lecture 10 part 2 of chain rule
Section 11: Quiz On Chain Rule
Lecture 11 quiz on chain rule
Section 12: Implicit Differentiation
Lecture 12 Implicit differentiation part 1
Section 13: Implicit Differentiation Part 2
Lecture 13 Implicit differentiation part 2.
Section 14: Quiz On Implicit Differentiation
Lecture 14 Quiz on implicit differentiation.
Section 15: Implicit Differentiation Twice
Lecture 15 Implicit differentiation twice.
Section 16: Part 2 Of Implicit Differentiation Twice
Lecture 16 Deriving implicitly twice.
Section 17: Quiz On Implicit Differentiation Twice
Lecture 17 Quiz on second implicit differentiation.
Section 18: Deriving Using Logarithmic Differentiation
Lecture 18 Logarithmic differentiation
Section 19: Part 2 Of Logarithmic Differentiation
Lecture 19 Part 2 of logarithmic differentiation
Section 20: Quiz On Logarithmic Differentiation
Lecture 20 quiz on logarithmic differentiation.
Section 21: Deriving Of Natural Exponential Function
Lecture 21 Deriving of natural exponential function.
Section 22: Part 2 Of Deriving Of Natural Exponential Function
Lecture 22 Part 2 of deriving of natural exponential function.
Section 23: Quiz On Deriving Of Natural Exponential Function
Lecture 23 Quiz on deriving of natural exponential function.
Section 24: Derivative Of Natural Logarithmic Function
Lecture 24 Derivative of natural logarithmic function
Section 25: Part 2 Of Deriving Of Natural Logarithmic Function
Lecture 25 Part 2 of deriving of natural logarithmic function.
Section 26: Quiz On Natural Logarithmic Function
Lecture 26 Quiz on natural logarithmic function
calculus 1, calculus ab, and business calculus students.

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