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Calculus Lesson 3.8 Derivatives of Logarithms and Exponents Flashcards | StudBud
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Calculus Lesson 3.8 Derivatives of Logarithms and Exponents
Calculus Lesson 3.8 Derivatives of Logarithms and Exponents
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#derivatives #logarithms #blindquiz
Flashcards
14 cards
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Questions
14
Answers
1
find dy/dx: y=ln(x
2
+5)
(2x)/(x2+5)
1/(x2+5)
2/(x+5)
2xln(x2+5) + 1/(x2+5)
2
Find the Derivative: y = 5
x
1/ln5
5xln5
5x
5xlnx
3
The Derivative of Logarithms of any base is:
"Logarithms Are my Fav!"
"I'm running out of flash cards!"
4
How do we find the derivative of something like 2
x
? or log
2
x?
Combination of chain rule and new derivative rules
Magic
Math
only with a Miracle
5
Find the Derivative of 2
x
2x
log2x
1
2x(ln2)
6
What's the Derivative of 5
sin(x)
?
5cosxln5
5sinxln5cos(x)
5cos(x)
5cosxln5cosx
7
How do you feel about today's lesson?
I have a love/hate relationship with Calculus.
I've got this!
I need more practice, but I'm doing well.
I just answered as fast as possible... not sure what we did.
8
Find the Derivative: f(x) = 5lnx
5lnx
5x
5/x
1/(5x)
9
Find the Derivative: y=log x
1/{xln10)
x/ln10
1/log(10)
1/ln10
10
What is the derivative of ln(x
2
+2x+1)?
It's like ex- (2x+2)ln(x2+2x+1)
1/(x2+2x+1)
2/(x+1)
ln(2x+2)
11
The Derivative of the Natural Logarithm is:
"Adding this to my flash card list!"
"This is the easiest one yet!"
12
What is the derivative of log
2
(x
2
+2x+1)?
1/ln(2x+2)
2/(x+1)
2/{(x+1)ln2}
ln2/(x2+2x+1)
13
Let's Define Derivatives of Exponentials:
"Can you explain again?"
"Yup, got it!"
14
Find the derivative: log
10
{x/(x-1)}
-1/{x(x-1)ln10}
x/{(x-10)ln10}
x/ln10
(x-1)/{xln10)
