The Chain Rule

Find the Derivative 1

100

(2x³+1)²

12x²(2x³+1)¹

200

(x²-1)³

6x(x²-1)²

300

(5-3x)^1/2

(-3/2)(5-3x)^-1/2

400

-5(t+3)^-3

15(t+3)^-4

500

(1/2)x²(16-x²)^1/2

(-1/2)x³(16-x²)^-1/2+x(16-x²)^1/2

Find the Derivative 2

100

3(4-x²)⁵

-30x(4-x²)⁴

200

(4x-x²)²

2(4x-x²)(4-2x)

300

-3(2-9x)^1/4

(27/4)(2-9x)^-3/4

400

(t²-2)^-1/2

-t(t²-2)^-3/2

500

x(x⁴+4)^-1/2

-2x⁴(x⁴+4)^-3/2+(x⁴+4)^-1/2

Find the Derivative 3

100

(9t+2)^2/3

6(9t+2)^-1/3

200

7(2x+35)⁴

56(2x+35)³

300

(t²+3t-1)^-1

(-2t-3)(t²+3t-1)^-2

400

x(3x-9)³

(3x-9)²(12x-9)

500

(t²/(t³+2))²

2(t²/(t³+2))((4t-t⁴)/(t³+2)²)

Trigonometric Chain Rule

100

sin(2x)

2cos(2x)

200

cos(3x²)

-6xsin(3x²)

300

tan²x

2tanxsec²x

400

xsin(4x+2)

sin(4x+2)+4xcos(4x+2)

500

sec(5x^5+3x+2)

(25x^4+3)sec(5x^5+3x+2)tan(5x^2+3x+2)

Random

100

Where did I get my masters degree from?

Niagara University

200

How old am I turning in May?

29

300

This will be my ____ year as a track coach?

3rd

400

When Michael Jordan played for the Chicago Bulls how many NBA championships did he win?

6

500

What year was the first iphone model released?

2007