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