Derivatives of Cosine, Sine, e, and Natural Log Functions
The Product Rule
The Quotient Rule
Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions
Mystery
100

Find the derivative of cos(x)

-sin(x)

100

Find the derivative of (x2)(3x + 1)

What is 9x2 + 2x ?

100

Find the derivative of y = (5x+2)/((x^2)-1)

((-5x^2)-4x-5)/(((x^2)-1)^2)

100

Find the derivative of tan(x)

sec2x

100

What other classes does Mr. Mascola's teach?

AP CSA, AT. CS

200

Find the derivative of sin3(x)

3sin2(x)cos(x)

200

Find the derivative of (x2 - 1)(sin(x) + 2)

What is 2x sin(x) + x2cos(x) + 4x - cos(x)  ?

200

Find the derivative y = (x^2)/(cos(x))

(2xcos(x)+(x^2)(sin(x)))/(cos^2(x))

200

Find the derivative of xsec(x)

sec(x) + xsec(x)tan(x)

200

What percent of students who took the AP Calculus BC exam last school year got a 5?

44%

300

Find the derivative of (cos(x))(e3x+2)

(3e3x+2)(cos(x))-(e3x+2)(sin(x))

300

FInd the derivative of cosx sinx .

What is cos(2x) ?

300

Find the derivative of y =(sin(x))/(x^2)

(xcos(x)-2sin(x))/(x^3)

300

Find the derivative of 2csc(2x)

-4csc(2x)cot(2x)
300

What is the password to this jeopardy?

A. physicstejas3/20 | B. mascolagoat | C. calcjeopardy | D. humptydumpty

B

400

Find the derivative of sin(2x2) + ln(7x2)

4xcos(2x2)+(2/x)

400

Find the derivative of (x2 - 1)(sinx + 2)?

x2 cos(x) + 2x sin(x) + 4x - cos(x)

400

Find the derivative of y = ((x^2)ln(2x))/((e^x)+x)

((2xsin(x)+x^2cos(x))((x)+1)-(((x^2)sin(x))(1)))/(((x)+1)^2)

400

Find the derivative of 2x/tan(x)

2cot(x) - 2xcsc2(x)

400

List all of the shirt colors for last year's Calculus-themed t-shirts.

Purple, Green, Blue, Red, Orange

500

Find the derivative of (sin(3x))(cos3(x)+ln(8x3)

-3cos2(x)sin(x)sin(3x)+3cos3(x)cos(3x)+3cos(3x)ln(8x^3)+(3sin(3x))/x

500

Find the derivative of (cosx)(lnx + 8x2).

16 cos(x) - sin(x) ln(x) - 8x2 sin(x) + cos(x)/x

500

Find the derivative of y = ((x^2)ln(2x))/((e^x)+x)

((2xln(2x)+x)((e^x)+x)-(((x^2)ln(2x))((e^x)+1)))/(((e^x)+x)^2)

500

Find the derivative of (sec(2x) + csc(x))/tanx

((2sec2xtan2x - cscxcotx)(tanx) - (sec2x+cscx)(sec2x))/tan2x

500

All or Nothing: Every group must sing the quotient rule song. Groups that can sing it well receive 500, and those who cannot lose 1000.  

Gatekeep

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