Derivatives of Logs and Exponentials

Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
Wayground Content
FREE Resource
Student preview

15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is the derivative of y=ln(u) where u is a function of x?
Back
The derivative is y' = (1/u) * (du/dx).
2.
FLASHCARD QUESTION
Front
What is the derivative of y=e^u where u is a function of x?
Back
The derivative is y' = e^u * (du/dx).
3.
FLASHCARD QUESTION
Front
What is the chain rule in differentiation?
Back
The chain rule states that if a function y is composed of another function u, then the derivative of y with respect to x is y' = (dy/du) * (du/dx).
4.
FLASHCARD QUESTION
Front
What is the product rule in differentiation?
Back
The product rule states that if you have two functions u and v, then the derivative of their product is (uv)' = u'v + uv'.
5.
FLASHCARD QUESTION
Front
What is the quotient rule in differentiation?
Back
The quotient rule states that if you have a function that is the quotient of two functions u and v, then the derivative is (u/v)' = (u'v - uv')/v².
6.
FLASHCARD QUESTION
Front
How do you differentiate a logarithmic function?
Back
To differentiate a logarithmic function y=log_b(u), use the formula y' = (1/(u ln(b))) * (du/dx).
7.
FLASHCARD QUESTION
Front
What is the derivative of y=4e^(x^2)?
Back
The derivative is y' = 8xe^(x^2).
Create a free account and access millions of resources
Similar Resources on Wayground
14 questions
Product & Chain Rule

Flashcard
•
12th Grade
14 questions
Chain Rule Review

Flashcard
•
12th Grade
15 questions
AP Calc AB Semester 1 Final Review

Flashcard
•
11th - 12th Grade
15 questions
Derivatives - Chain, Implicit, Inverse Trig

Flashcard
•
11th - 12th Grade
15 questions
Derivatives of Natural Log, Exponentials, & Inverse Trig

Flashcard
•
11th - 12th Grade
9 questions
Differentiation of Logarithmic and Exponential Functions

Flashcard
•
11th Grade - University
15 questions
Derivatives of Logs and Exponentials

Flashcard
•
11th - 12th Grade
14 questions
Topics 3.3 and 3.4 Derivatives of Inverses and Inverse Trig

Flashcard
•
11th Grade
Popular Resources on Wayground
55 questions
CHS Student Handbook 25-26

Quiz
•
9th Grade
18 questions
Writing Launch Day 1

Lesson
•
3rd Grade
10 questions
Chaffey

Quiz
•
9th - 12th Grade
15 questions
PRIDE

Quiz
•
6th - 8th Grade
40 questions
Algebra Review Topics

Quiz
•
9th - 12th Grade
22 questions
6-8 Digital Citizenship Review

Quiz
•
6th - 8th Grade
10 questions
Nouns, nouns, nouns

Quiz
•
3rd Grade
10 questions
Lab Safety Procedures and Guidelines

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
40 questions
Algebra Review Topics

Quiz
•
9th - 12th Grade
12 questions
Classifying Polys - 1.1

Quiz
•
10th - 12th Grade
20 questions
1.1 (b) Add / Sub/ Multiply Polynomials

Quiz
•
12th Grade
10 questions
Solving Equations Opener

Quiz
•
11th Grade
20 questions
Function or Not? Domain and Range

Quiz
•
9th - 12th Grade
10 questions
Polynomial Operations Practice

Quiz
•
11th Grade
22 questions
Distribution Shapes

Quiz
•
9th - 12th Grade
23 questions
Six Parent Functions

Quiz
•
9th - 12th Grade