Trig Derivatives
(30 seconds)
Trig Derivatives Problems
(2 minutes)
Trig Word Problems
(2 minutes)
Review Basic Derivatives
(1 minute)
100

The derivative of sin(x)

What is cos(x)?

100
The derivative of y = sinx - 1
What is y' = cosx?
100

Find the velocity of an object if its position is given by p(t) = t3-6t2+9t

What is v(t) = 3t2-12t+9?

100

The derivative of f(x) = x3.2

What is f'(x) = 3.2x2.2?

200

The derivative of tan(x)

What is sec2x?

200

The derivative of y = tanx + cosx

What is y' = sec2x - sinx?

200

Find the velocity of an object after 2 seconds if its position is given by p(t) = t3-6t2+9t.

What is -3 m/s?

200

The derivative of f(x) = 1/x2

What is f'(x) = -2/x3?

300

The derivative of sec(x)

What is secxtanx?

300

The derivative of y = x2-secx+1 

What is y' = 2x - secxtanx? 

300

Find the velocity of an object after 4 seconds if its position is given by p(t) = t3-6t2+9t.

What is 9 m/s?

300

The derivative of f(x) = x7+10

What is f'(x) = 7x6?

400

The derivative of cot(x)

What is -csc2x?

400

The derivative of y = x2cotx

What is y' = 2xcotx - x2csc2x?

400

When does the velocity of s(t) = t3-6t2+9t equal 0

What is t = 3 seconds & t = 1 second?

400

The derivative of f(x) = 8x4+9x2-1

What is f'(x) = 32x3+18x?

500

The derivative of csc(x)

What is -cscxcotx?

500

The derivative of g(t) = t3cos(t)

What is g'(t) = 3t2cos(t)-t3sin(t)?

500

Find the acceleration of s(t) = t3-6t2+9t

What is a(t) = 6t-12?

500
The derivative of f(x) = (3x+1)2

What is f'(x) = 18x+6?