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Mr.French Calculus-(derivatives of inverse functions) Flashcards | StudBud
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Mr.French Calculus-(derivatives of inverse functions)
Mr.French Calculus-(derivatives of inverse functions)
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10 questions about derivatives of inverse functions
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1
What is the first step in finding the inverse of f(x)=sinx?
x=secy
x=tany
x=cosy
x=siny
2
find (f
-1
)'(-3)
2
1/6
-1/2
1/2
3
If the inverse is y=2x
2
+2, what is the derivative of this?
4x
2x3/3
2
4
4
If f(x)=√x+7 and the inverse of f(x) is y=x
2
-7. What is the derivative of the inverse function?
1/2(x+7)-1/2
2x
2x-7
x+7/2
5
What is the first step to finding the derivative of an inverse function?
set the equation to zero
plug in the given number
find the derivative of the equation
find the inverse of the equation
6
What is the equation after taking the inverse of f(x)=√x+5?
y=x2-5
y=x2+5
y=√x+5
y=√x-5
7
What is the first step in finding the inverse of y=2x
3
+x
2
+1?
1/6y2+2y
x=2y3+y2-1
x=6y2+2y
1/8
8
How do you find the inverse of an equation?
switch x and y
solve for x
take the derivative
set it equal to zero
9
If the inverse is y=sinx, what is the derivative of the inverse function?
cosy
cosx
secx
-cosx
10
what is the inverse of f(x)=√x+10
x=y2+10
y=x2+10
x=y2-10
y=x2-10
