Derive and Shoot Jeopardy

Prime Rib

100

What is the power rule equation?

F(x) = ax^n-1

200

Find Dy/Dx. Y= 5x^4 + 3x^2 -2x +7

Dy/Dx= 20x^3 +6x -2

300

Find Dy/Dx. Y= √x^2 +1/x -2

Dy/Dx= 2/3³√x -1/x^2

400

Find D^2y/Dx^2. Y= 5x^-2 +3x^3 -2x^2 +6x

D^2y/Dx^2= 30x^-4 +18x -4

500

Find the slope of the line tangent to the equation y= 12x^3 -5x^2 -3x -6/x^2 at x= -2.

M tan = 159.5.

Cow-Culus

100

Find Dy/Dx. Y= (3x^2 +4x)•(6x +2/x).

Dy/Dx= 54x^2 +48x.

200

Find Dy/Dx. Y= 1/(x^2 +2).

Dy/Dx= -2x/(x^2 +2)^2.

300

Find the equation of the line tangent to the equation y= x^2/(x-2) at the point (3,4).

Y= -3(x -3) +4.

400

Find Dy/Dx. Y= (3x^4 +2)/(3x^3 -2).

Dy/Dx= 9x^6 -24x^3 -18 x^2 or (3x^3 -2)^2.

500

Find D^2y/Dx^2. Y= (5x^5 +5)•(-2x^5 -3).

D^2y/Dx^2= -900x^8 -500x^3.

Udder Chaos

100

On what variable to you add the term Dy/Dx?

Y variable.

200

Find Dy/Dx. Y= 1/(√x) +1/(√y)

Dy/Dx= (√(y^3))/(√(x^3)).

300

Find the equation of the line 5= x^2 +5x -y^2 -2y at point (2,-2).

Y= -9/2(x-2) -2

400

Find Dy/Dx. Y= a^2•y^2 +b^2•x^2 =1.

Dy/Dx= -(ay^2 +b^2x + bx^2)/a^2•y.

500

Find D^2y/Dx^2. √Y= x^2 + 2x.

D^2y/Dx^2= 8x^2 +16x +4√(y) +8.

Legend- wait for it....... -Dairy

100

Find Dy/Dx. Y= logз (x^2 + 5).

Dy/Dx= 2x/((x^2 +5)• ln3)

200

Y= ln(x^1/2). Find Dy/Dx

Dy/Dx= 1/(2x√x)

300

Find Dy/Dx. Y= x•(e^2x)

Dy/Dx= 2x•(e^2x) +e^2x.

400

Find Dy/Dx. Y^2= x^(2x^2+1).

Dy/Dx= (y(2x^2 +1 +4x^2• ln(x))/ 2x

500

Find Dy/Dx. Y=5^(ln(5x +3x^2) +2).

Dy/Dx= ((5 +6x) • (ln5) • 5^(ln(5x +3x^2) +2))/ (5x +3x^2).

Cow-Pi

100

Find y^354 if y= sin(x).

Y^353= cos(x).

200

Find f'(x) if f(x)= (x^2 +1)• sec(x).

F'(x)= x^2• sec(x)• tan(x) + sec(x)tan(x) + 2x• sec(x).

300

Find y' if y= tan^-1(√x).

Y= 1/((1+x) • (2√x))

400

Find Dy/Dx if y= sec^-1(8x).

Dy/Dx= 1/((x√(64x^2 -1).

500

Find Dy/Dx if y= -cos^-1(x^2 +4).

Dy/Dx= (2x -4)/ (√(1-((x^2 -4x)^2)))).