Differentiation

When do you use the chain rule?

• anytime you want
• when there is a composite function

• where there is multiplication

• when there is division

find y' for y = (e^5x) + 1

• 5e^5x+1

• e^5x

• 5e^5x

• 1

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

Find dy/dx by Implicit Differentiation 
x + 4y = 1

• -1/4
• -1 
• 4
• 1 

Find dy/dx by Implicit Differentiation
2xy³ - x²y = 2

• 2xy - 2y³
• 2y(x-y²)/x(6y²-x)
• -2y/x
• 2