Derivative Jeopardy

Definitions and Rules

100

Give a derivative notation. 

f'(x), y', dy/dx

200

What is the limit definition of a derivative? 

lim_h-0 f(x+h) - f(x)  / h

300

Derivative of a constant.

What is 0.

400

What is the best way to remember the quotient rule?

lo di hi - hi di lo all over lo squared!

500

What is a derivative. 

The slope of the tangent line at a given point.

Power Rule

100

^{What is the power rule.}

nx^n-1

200

Find the derivative.

4x² 

8x

300

Find the derivative. 

1/x³

-3/x⁴

400

Find the derivative. 

6x⁸-12x+19

48x⁷-12

500

Find the derivative. 

sqrt(x)

1 /2sqrt(x)

Product/Quotient

100

What is the quotient rule?

lo di hi - hi di lo all over lo^2

200

The derivative of (4x⁷)(x+1)

32x⁷+28x⁶

300

The derivative of 5x / (x-6)

-30 / (x-6)²

400

The derivative of (9x²-4x+1)(6x³+3)

270x⁴-96x³+18x²+54x-12

500

The derivative of (x-3)/(x³+7)

(-2x³+9x²+7)/ (x³+7)²

Chain + Special

100

The derivative of secx

secxtanx

200

The derivative of e^4x-5

e^4x-5 (4)

300

The derivative of (3x-9)⁷​​​​

21(3x-9)⁶

400

The third derivative of 5x⁷+4x³-2x²

1050x⁴+24

500

The derivative of cos(4x⁶)

-sin(4x⁶) (24x⁵)