Basic Derivative Information and Power Rule
Chain Rule
Product Rule
Quotient Rule
Trig Derivatives
100

The derivative calculates the ________.

Slope

100

Define the Chain Rule for dy/dx

dy/dx=dy/du*du/dx

100
Define the Product Rule using f(x)g(x)
f′(x)g(x)+ g′(x)f(x)
100
Define the Quotient Rule using f(x)/g(x)
[g(x)f′(x) - f(x)g′(x)]/ (g(x))²
100
d/dx cosx=
-sinx
200
d/dx 5 =
0
200
d/dx (3x+1)²
6(3x+1)
200
f(x)=x²sinx, what is f′(x)?
2xsinx+ x²cosx
200
Differentiate y= 2/(x+1)
y′ = -2/ (x+1)²
200
Differentiate y=tan(x)
y′ =sec²(x)
300
d/dx x² =
2x
300

d/dx sin(4x²)

8xcos(4x²)

300
Differentiate y=x³lnx
y′ =x²(1+3lnx)
300

In what town was the Hoosiers movie filmed?

Kightstown, IN

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
Differentiate y=e^-x²cos2x
y′ =−2xe^(−x²) cos2x−2e^(−x²)sin2x
400

f(x)= (x²-1)³/ x²+1, what is f′(x)? 

Hint: Use quotient and chain rule here

f′(x)= [4x(x²-1)²(x²+2)] / (x²+1)²

400
d/dx sin(2x)
2cos(2x)
500

What is my son's name?

Zwade

500

Differentiate y=3tan√x

y′ =3sec²√(x)/ 2√x

500
Differentiate y=x²sin³(5x)
y′ =xsin²(5x)[15xcos(5x)+2sin(5x)]
500

Differentiate y = cos x/ x2

y′ = −(x sin x + 2 cos x)/ x 3

500

How old was Marvin Wood, the coach of the 1954 basketball State Championship Team in 1954?

26

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