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Derivatives! Flashcards | StudBud
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Derivatives!
Derivatives!
10 terms
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StudBud Administration
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How well do you know your derivatives? #math #calculus
Flashcards
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Questions
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Answers
1
Find the derivative of e
x
eex
????
xex
ex
2
what is the derivative of e
2x
/sinx
2e2xsinx-e2xcosx/sin2x
e2xcosx-2e2xsinx/sin2x
2e2xsinx-e2xcosx/sinx
e2xsinx-e2xcosx/sin2x
3
Find the derivative of: y = cos(sin(tan(3x)))
3sin(sin(tan(3x)))*-cos(tan(3x))*sec2(3x)*3
3sin(sin(tan(3x))
sin(sin(tan(3x)))*cos(tan(3x))*sec2(3x)*3
sin(sin(tan(3x)))*cos(tan(3x))*sec2(3x)
4
Find the derivative of e
cos(x)
esinx
ex*cos(x)
ecos(x)*-sin(x)
ecos(x)*sin(x)
5
Find the derivative of y= sin
3
x
3cos2x
3sin2x* -cosx
3sin2x *cosx
cos3x
6
What does quotient rule look like? (use f(x)/g(x))
dy/dx = f(x)(g(x))-g(x)(f(x))/(g(x))2
dy/dx = f'(x)(g(x))-g'(x)(f(x))/(g(x))2
dy/dx = f(x)(g'(x))-g(x)(f'(x))/(g(x))2
dy/dx = f'(x)(g(x))-g(x)(f(x))/(g'(x))2
7
What is the derivative of: sinxcosx
uhhhhh.... help?
-cosxsinx
cos2x+sin2x
cos2x-sin2x
8
What is the definition of a derivative
lim(h→0)〖(f(x+h)-f(x))/x〗if it exists
lim(x→0)〖(f(x+h)-f(x))/h〗 of it exists
lim(h→0)〖(f(x+h)-f(x))/h〗if it exists
lim(h→0)〖(f(h)-f(x))/h〗if it exists
9
Fnd the derivative of: x
2
x
2x
2x2
help.
10
What does chain rule look like
dy/dx = f(g(x))*g'(x)
dy/dx = f(g(x))*g(x)
dy/dx = f'(g(x))*g'(x)
dy/dx = f'(g(x))*g(x)
