BC Calc Derivative Jeopardy

Basic Derivatives

100

x³-3x-1

3x²-3

200

4X^3/2

6x^1/2

300

ln(7x²+1)

14x/(7x²+1)

400

e^7x-1

7e^7x-1

500

x^5/3-1/x²+8x-1

5/3x^2/3+2x^-3+8

Trig Derivatives

100

2cos(5x)

-10sin(5x)

200

sin(3x)

3cos(3x)

300

4tan(x)

4sec²x

400

cot(3x)

-3csc²(3x)

500

4sec(2x)

8sec(2x)tan(2x)

Product/Quotient Rule

100

xe^x

xe^x+e^x

200

x³cos(5x)

-5x³sin(5x)+3x²cos(5x)

300

x⁴/e^x

(4x³e^x-x⁴e^x)/e^2x

400

sinx/ln(6x)

(cosxln(6x)-sinx/x)/(ln6x)²

500

sin(x²)e^7x

7e^7xsin(x²)+2xcos(x²)e^7x

Chain Rule

100

e^tanx

sec²(x)e^tanx

200

(x³+6x-1)⁵

5(x³+6x+1)⁴(3x²+6)

300

sin³(x⁵)

15x⁴sin²(x⁵)cos(x⁵)

400

4tan⁴(e^2x)

32e^2xtan³(e^2x)sec²(e^2x)

500

cos³(sin(x²))

-6xcos²(sin(x²))sin(sin(x²))cos(x²)

Hodge Podge

100

ln(csc(x))

-cscxcotx/cscx

or -cotx

200

log_4(sinx)

cosx/(ln4*sinx)

300

9csc(x⁴)

-36x³csc(x⁴)cot(x⁴)

400

3^(x^3)

3x^2(ln3)3^(x^3)

500

e^2xcosx

e^2xcosx(2cosx-2xsinx)