Partial Derivatives!

Trivia, History and Context

100

What does a partial derivative differentiate? 

Two separate variables

200

Who founded the partial derivative?

Adiren-Marie Legedre

300

What's the debate over who founded calculus first called?

Newton-Leibniz Calculus Controversy

400

What landmark does the founder of partial derivatives have a plaque of commendation? (Hint: remember his nationality.)

The Eiffel Tower 

500

On what planetary body is a crater named after Adrien-Marie Legendre?

The Moon

Respect to X

100

The partial derivative with respect to X keeps what variable as a constant?

Y

200

What is the partial derivative with respect to X of (6xy + x⁴)

6y + 4x³

300

What is the partial derivative with respect to X of (2x³ + x²)^1/2

(6x² + 2x) / 2(2x³+x²)^1/2

400

What is the partial derivative with respect to X of cos((3y⁴)(x³))

-sin(3y⁴x³) * 9y⁴x²

500

What is the partial derivative with respect of X of (2x⁴e^(2x+1))

8x³e^2x+1 + 4x⁴e^2x+1 

Respect to Y

100

The partial derivative with respect to Y keeps what variable as a constant?

X

200

What is the partial derivative with respect to Y of (yx² + y³)

x² + 3y²

300

What is the partial derivative with respect to Y of (3y² + x²)^1/2

3y / (3y² + x²)

400

What is the partial derivative with respect to Y of (sin((x²)(y²)))

cos(x²y²) * (2x²)y

500

What is the partial derivative with respect to Y of (3y²)e^{3y^2}

3 (2e^{3y^2}y + 6e^{3y^2}y³ )