Calculus Review Game- Finding Derivatives

Basic Derivative Information and Derivatives of logs and exps.

100

The derivative calculates the ________.

Slope

200

Derivative of e^x

e^x

300

d/dx a^x

(a^x)(lna)

400

Derivative of lnx

1/x

500

Derivative of log with base a

(1/x)(1/lna)

Product and Quotient Rule

100

Define the Product Rule using u and v

u'v + uv'

200

Define the Quotient Rule using u and v

(u'v-uv')/v²

300

d/dx (x+9)(x-7)

2x+2

400

d/dx (x+5)/x

-5/x²

500

Differentiate y=(x+6)/5

1/5

Trig Derivatives

100

d/dx cosx=

-sinx

200

Differentiate y=tan(x)

y′ =sec²(x)

300

Differentiate y=csc(x)

y′ =-csc(x)cot(x)

400

d/dx secx=

secxtanx

500

d/dx cot(x)=

-csc²x