Chain Rule

• A
• B
• C
• D

• A
• B
• C
• D

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

• A
• B
• C
• D

Find y' if y = tan(3x²+2).

• sec²(3x²+2)
• 6xsec²(3x²+2)
• 6xsec²x(3x²+2)
• sec²(6x)

.

• Only the Quotient Rule
• The Quotient and Product Rules
• The Quotient and Chain Rules
• Only the Chain Rule

d/dx (sin²x) = ?

• 2sin x
• 2(sin x)(cos x)
• 2cos x
• 2x(cos x)

• A
• B
• C
• D

• TRUE
• FALSE

 $\frac{d}{dx}\sec^2\left(\sqrt{x}\right)$  

•  $\frac{2\sec\left(\sqrt{x}\right)\tan\left(\sqrt{\left(x\right)}\right)}{\sqrt{x}}$  

•  $\frac{2\sec^2\left(\sqrt{x}\right)\tan\left(\sqrt{x}\right)}{\sqrt{x}}$  

•  $\frac{\sec^2\left(\sqrt{x}\right)\tan\left(\sqrt{x}\right)}{\sqrt{x}}$  

•  $\frac{\sec\left(\sqrt{x}\right)\tan\left(\sqrt{x}\right)}{\sqrt{x}}$