Calculus AB

Trig Functions

100

Evaluate (cos(5π/6)) 

-√3/2

200

Find the derivative of: f(x)= cos(2x)

f'(x)= -2sin(2x)

300

lim t→0

(3t)/sin(t)

3

400

Find the derivative:

g(z)=10tan(z)−2cot(z)

g'(z)=10sec²(z)+2csc²(z)

500

Find the derivative:

h(t)=t³−t²sin(t)

h′(t)=3t²−2tsin(t)−t2cos(t)

Derivatives

100

Find the derivative of f(x):

If f(x)= 2x³+7x , then f'(x)=

6x²+7

200

Find the derivative of f(x)

If f(x)= x(3x²-9) , then f'(x)=

f'(x)= 9x²-9

300

Find the derivative of (3x-11)¹¹

11(3x-11)¹⁰(3)

400

Find the derivative of:

g(t)=(4t²−3t+2)^-2

−2(8t−3)(4t²−3t+2)^-3

500

Find the derivative of:

(3w+w⁴)/(2w²+1)

(4w⁵+4w³−6w²+3)/(2w²+1)²

Limits

100

lim x→ ∞

4x²

∞

200

lim x→ ∞

(8x²)/(2x)

∞

300

lim x→2

(8−3x+12x²)

50

400

lim→−3

(6+4t)/ (t²+1)

-3/5

500

lim z→8

(2z²−17z+8)/(8−z)

-15

WWMCD

100

If you had to find the area of a function, what would you do to the equation?

Integrate

200

If you had to find the tangent line of an equation, what is the formula you'd use?

f(x)= f(c)+ mtan(x-c)

300

If you had to evaluate the tangent line at the point (4,2), what value is f(c)?

2 (the y-value)

400

What would you do if you had to find where a function is concave up or down?

Second Derivative Chart

500

If you had an indeterminant limit (limit = 0/0 or ∞/∞), what rule would you use?

L'Hopitals Rule