Derivative Jeopardy! Jeopardy Template

Power Rule

Chain Rule

Derivatives of Trigonometry

Logs/Exponentials

100

Derivative of x³

3x²

100

(x²+1)²

4x(x²+1)

100

cos(x)

-sin(x)

100

ln(x)

1/x

200

x³-x²

3x²-2x

200

¹/(x²+1)²

-2/(x²+1)³ *(2x)

200

sec²(x)

tan(x)

200

e^4x

4e^4x

300

x^(-1/2)

-x^(1/2)/2

300

(4x+3)^1/2

2/(4x+3)^1/2

300

csc²(x)

-csc(x)cot(x)

300

log₄(x)

1/xln(4)

400

x^(-3)

-3x^-4

400

1/(x^{^2}+1)^1/2

-x/(x²+1)^3/2

400

sec(x)

sec(x)tan(x)

400

ln(e)+e^x

e^x

500

7/x^2/3

-¹⁴/₃x^-5^/3

500

(2x³+x²+1)^-³

-3(6x²+2x)(2x³+x²+1)^-4

500

-csc²(x)+(cos(x)*csc(x))

cot(x)-csc²(x)

500

14^(x+4)+log₁₂(x²+3x+1)

14^(x+4)ln(14)+(2x+3)/(x²+3x+1)ln(12)