Jeopardy/dx

Basic Derivatives

100

3x²

What is 6x

200

5x⁴ - 6x + 7

What is 6x

300

ln(3x)

What is 1/x

400

5e^5x

What is 25e^5x

500

2^x

What is 2^x ln(2)

Product Rule

100

x³ 2x²

What is 10x⁴

200

x² ln(x)

What is x + 2xln(x)

300

(x²)(x³ + 4)

What is 5x⁴ + 8x

400

xe^3x

What is e^3x +3xe^3x

500

x²(x+1)(x-8)

What is 4x³ - 21x² - 16x

Quotient Rule

100

6x/x²

What is -6/x²

200

5x/(x+1)

What is 5/(x+1)²

300

(x²+1)/x³

What is -x² - 3/x⁴

400

(x³+2x)/(x-1)

What is (2x³-3x²-2)/(x-1)²

500

4e^x/6x

What is (2xe^x - 2e^x)/3x²

Chain Rule

100

(4x-3)⁵

What is 20(4x-3)⁴

200

x(7x+3)⁴

What is (7x+3)⁴+28x(7x+3)³

300

√(1+√x)

What is 1/(4√x)(√(1+√x))

400

x/(√(x²+1))

What is 1/(x²+1)(√(x²+1))

500

ln(√(3x+1))

What is 3/(6x+2)

Trig Derivatives

100

csc(x)/sec(x)

What is -csc²(x)

200

tan(x)+sec(x)

What is 1/(1-sin(x))

300

e^x cos(x)

What is e^x cos(x) - e^x sin(x)

400

sin(x)/(1+cos(x))

What is 1/(1+cos(x))

500

cot(x)/e^x

What is -(csc²(x)+cot(x)/e^x)