Calculus (Mrs. V.)

Derivatives

100

Find the derivative: y=5

What is y'=0?

200

Find the derivative: y=8x²

What is y'=16x?

300

Find the derivative: y=3x^-1+12x

What is y'=-3x^-2+12?

400

Find the derivative: y=x³-12x+1

What is is y'=3x²-12?

500

Find the derivative: y=-x⁵+(5/2)x⁴+(40/3)x³+5

What is y'=-5x⁵+10x³+40x³?

Integrals

100

Find the integral: ∫x³+9x² dx

What is (1/4)x⁴+3x³+c?

200

Find the integral: ∫5x⁹-4x⁵+5x³ dx

What is (1/2)x¹⁰-(2/3)x⁶+(5/4)x⁴+c?

300

Find the integral: ∫ x²+3x+4 dx

What is x³/3+3x²/2+4x+c?

400

Find the integral: ∫54x¹²-7x² dx

What is 54x¹³/13-7x³/3+c?

500

Find the integral: ∫(x²+2)²+(4-5x)² dx

What is x⁵/5+24x³/3-20x²+20x+c?

Limits

100

Lim (x-x²)

x->2

What is -2?

200

Lim 3x/sinx

x->0

What is 3?

300

Lim (3x²-x+1)

x->-2

What is 15?

400

Lim (x²-5x)/(x-1)

x->1

What is DNE?

500

Lim (2x³+11x²-21x)/(x²+7x)

x->-7

What is -17?

Trig. Derivatives

100

The derivative of Sine is ____.

What is Cosine?

200

The derivative of Tangent is _____.

What is Secant Squared?

300

The derivative of Cosine is ____.

What is NOT Sine? 

400

The derivative of Secant is ____.

What is Secant Tangent?

500

The derivative of Cotangent is ____.

What is Cosecant Squared?

Trig. A-Derivatives

100

The anti-derivative of Cosine is ____.

What is Sine?

200

The antiderivative of Sine is ____.

What is NOT Cosine?

300

The antiderivative of Cosecant Squared is ____.

What is NOT Cotangent?

400

The antiderivative of Secant Tangent is ____.

What is Secant?

500

The antiderivative of Cosecant Cotangent is ____.

What is NOT Cosecant?