Dare to Derive

Product rule

100

XE^X

XE^x+E^x

200

Cos(X)E^X

-Sin(X)E^X+Cos(X)E^X

300

Sin(X²)(X³+3)

-2Cos(X²)(X³+3)+Sin(X²)(3X²)

Derivative Jumble

100

X¹⁰+2X⁴+2x

10x^9+8X^3+2

200

.5Cos(Sin(6X³))

-9x²Sin(Sin(6X³)Cos(6X³)

300

e^X/X²

(2x⋅e^X−x²⋅e^X)/(ex)²

Inverse Trig

100

(d/dx) arcsin(x)= ?

{1/ sqrt(1-x²)}

200

(d/dx) arccos(x)= ?

-{1/ sqrt(1-x²)}

300

(d/dx) arctan(x)= ?

1/ (1+x²)

Lumber Jack

100

LN(6x+4)

6/(6X+4)

200

Log(6)

1/xln(6)

300

LN(Sin(x))

Cos(X)/(Sin(X)

Expo Time

100

E^3x

3E^3x

200

5^x

LN(5)5^x

300

LN(10^x)

LN(10)