Differentiation 2

Find the derivative of:
f(x) = 7(3x + 4)⁵

• 35(3x + 4)⁵
• 35(3x + 4)⁴
• 105(3x + 4)⁵
• 105(3x + 4)⁴

What rule should be used in deriving h(x) = 2(x - 4)³

• Power rule

• Product rule

• Quotient rule

• General Power Rule

What is the derivative of f?

• 1/(x - 1)^-1

• -1/(x - 1)^-2

• -1/(x - 1)

• -1/(x - 1)²

When do you use the chain rule?

• anytime you want
• when there is a function in a function
• where there are multiple layers to a lasagna (yum)
• when there is division

Find the derivative of:

f(x) = (x² +1)⁶

• 12(x² + 1)⁶

• 12x(x² + 1)⁶

• 12x(x² + 1)⁵

• 12(x² + 1)⁵

Find  $\frac{\text{d}y}{\text{d}x}$  for  $y=3x+2$  

•  $3x$  

•  $3$  

•  $3x+2$  

•  $3x^2+2$  

Find  $\frac{\text{d}y}{\text{d}x}$  for  $5x^2+3x-1$  

•  $5x+2$  

•  $5x^2-1$  

•  $10x+3$  

•  $10x-2$  

Find the slope of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 2x²+3

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

What rule should be used in deriving h(x) = 2(x - 4)³

• Power rule

• Product rule

• Quotient rule

• Chain rule