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Basic Derivative Information and Power Rule
Chain Rule
Trig Derivatives
100
The derivative calculates the ________.
Slope
100
Define the Chain Rule for f(g(x))
g′(x)f′(g(x))
100
d/dx cosx=
-sinx
200
d/dx 5 =
0
200
d/dx (3x+1)²
6(3x+1)
200
Differentiate y=tan(x)
y′ =sec²(x)
300
d/dx x² =
2x
300
d/dx sin(4x²)
8xcos(4x²)
300
Differentiate y=csc(x)
y′ =-csc(x)cot(x)
400
d/dx 3x²-x+3 =
6x-1
400
Differentiate y=√13x²-5x+8
y′ =26x-5/ 2√13x²-5x+8
400
d/dx sin(2x)
2cos(2x)
500
Speed is _________.
the absolute value of velocity
500
Differentiate y=3tan√x
y′ =3sec²√(x)/ 2√x
500
d/dx arcsec(x)=
1/ |x| √(x² - 1)