Section 7.1 Inverse Functions and their derivatives
Worksheet – Inverse Functions and their derivatives
Section 7.2 Natural Logarithms
Worksheet – Natural Logarithms
Section 7.3 Transcendental Functions Lots of examples in 7.3 Worksheet – Transcendental Functions
Section 7.4 Exponential change and separable differential equations
Worksheet – Exponential change and separable differential equations
Section 7.5 Indeterminate forms and L’Hopital’s Rule
Worksheet – Indeterminate forms and L’Hopital’s Rule
Section 7.6 Derivatives of Inverse Trigonometric Functions
Worksheet – Derivatives of Inverse Trigonometric Functions
Section 7.7 Hyperbolic Functions and Their Derivatives
Worksheet – Hyperbolic Functions and Their Derivatives
Section 7.8 Relative Rates of Growth
Worksheet – Relative Rates of Growth
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Questions asked by students
Inverse Functions 7-1-33 (15th Edition)
Product and Chain Rule 7-2-17 (15th Edition)
Fundamental Theorem of Calculus 7-2-37 (15th Edition)
U-Substitution 7-2-44 (15th Edition)
Evaluating Integrals with Logarithms 7-2-49 (15th Edition)
Integrals with Logarithms 7-2-53 (15th Edition)
Natural Logarithms in Integrals 7-2-55 (15th Edition)
Derivative of e With an Exponent that Needs Chain Rule Several Times 7-3-23 (15th Edition)
Fundamental Theorem of Calculus 7-3-26 (15th Edition)
Integral 7-3-39 (15th Edition)
U-Substitution with e to the u Power Integral 7-3-48 (15th Edition)
Initial Value 7-3-57 (15th Edition)
A Constant to a Variable Power 7-3-61 (15th Edition)
Derivative of a Constant to a Variable Power 7-3-61 (15th Edition)
Change of Base Derivative 7-3-73 (15th Edition)
Derivatives Using Change of Base 7-3-85 (15th Edition)
Splitting Up in to Two Integrals 7-3-50 (15th Edition)
Integrals of a to a Power 7-3-89 (15th Edition)
Integrating a Constant to a Variable 7-3-89 (15th Edition)
Integrals with Other Bases 7-3-91 (15th Edition)
Variable in Base and Exponent on an Integral 7-3-95 (15th Edition)
Integration 7-3-99 (15th Edition)
Integral of a Constant Base 7-3-109 (15th Edition)
Intensity of Light 7-4-27 (15th Edition)
Exponential Growth 7-4-29 (15th Edition)
Newton’s Law of Cooling 7-4-41 (15th Edition)
Newton’s Law of Cooling 7-4-44 (15th Edition)
L’Hopital’s Rule Definitely a typo in the 7-5-1 (15th Edition)
L’Hopital’s 7-5-25 (15th Edition)
L’Hopital’s Rule 7-5-27 (15th Edition)
L’Hopital’s Rule 7-5-31 (15th Edition)
L’Hopital’s Rule 7-5-33 (15th Edition)
L’Hopital’s on Natural Logs 7-5-39 (15th Edition)
L’Hopital’s in the Form of Subtraction of Two Terms 7-5-43 (15th Edition)
L’Hopital’s Rule 7-5-51 (15th Edition)
L’Hopital 7-5-51 (15th Edition)
L’Hopital’s Rule 7-5-57 (15th Edition)
Variable in Base and Exponent 7-5-57 (15th Edition)
Indeterminate Form 7-5-59 (15th Edition)
Find the Limit Using L’Hopital’s Rule 7-5-60 (15th Edition)
L’Hopital’s Rule 7-5-63 (15th Edition)
Indeterminate Form 7-5-66 (15th Edition)
L’Hopital’s 7-5-67 (15th Edition)
Base to Variable 7-5-73 (15th Edition)
Variable in Base and Exponent 7-5-87 (15th Edition)
Part B L’Hopital’s Rule 7-5-91 (15th Edition)
Part C Derivative Set Equal to 0 7-5-91 (15th Edition)
Derivative on Inverse Trig Functions 7-6-23 (15th Edition)
Inverse Cosecant 7-6-27 (15th Edition)
Derivative of Inverse Secant (not really this problem but a good one none the less and it was some homework problem!)7-6-57 (15th Edition)
Derivative of Inverse Secant 7-6-29 (15th Edition)
Derivative of Inverse Cotangent 7-6-31 (15th Edition)
Derivative on Inverse Trig Functions 7-6-33 (15th Edition)
Derivative of Inverse Sine 7-6-37 (15th Edition)
Derivative of Inverse Tangent and Inverse Secant 7-6-39 (15th Edition)
Integral of Inverse Tangent 7-6-56 (15th Edition)
Inverse Secant with Triangles 7-6-57 (15th Edition)
Integral of Inverse Secant 7-6-63 (15th Edition)
7-6-61 (15th Edition)
Integral of Inverse Tangent 7-6-71 (15th Edition)
Trig Substitution Completing the Square 7-6-81 (15th Edition)
Inverse Tangent 7-6-95 (15th Edition)
Complex Tan Inverse Integral 7-6-99 (15th Edition)
Initial Value Problem 7-6-118 (15th Edition)
Volume of a Solid (not the answer in course compass) 7-6-120 (15th Edition)
7-6-120 volume around the y-axis (15th Edition)
sech (6lnx) 7-7-23 (15th Edition)
Derivative of Inverse Hyperbolic Sine 7-7-25 (15th Edition)
Product Rule 7-7-27 (15th Edition)
Product Rule 7-7-27 (15th Edition)
Derivative of Inverse csch x 7-7-33 (15th Edition)
Derivative Hyperbolic sinh Inverse 7-7-35 (15th Edition)
Integral sinh 7-7-43 (15th Edition)
Integral of Hyperbolic Tangent 7-7-45 (15th Edition)
Integral of coth 7-7-51 (15th Edition)
Integral cosh 7-7-53 (15th Edition)
Hyperbolic Cosine 7-7-59 (15th Edition)
7-7-59 hyperbolic coshine with more details (15th Edition)