Difference Quotient and Derivatives Quiz

If  $f\left(x\right)=x+5$  then what is  $\frac{f\left(x+\Delta x\right)-f\left(x\right)}{\Delta x}$  

• 1

•  $x+\Delta x+5$  

•  $-x\ -\ 5$  

•  $\frac{\Delta x-5}{\Delta x}$  

If  $h\left(x\right)=x^2-3$  then what is  $\frac{h\left(x+\Delta x\right)-h\left(x\right)}{\Delta x}$  

•  $x^2+2x\ \Delta x+\Delta x^2$  

•  $x^2+2x\ \Delta x+\Delta x^2-3-x^2+3$  

•  $\frac{2x^2+2x\Delta x+x^2-6}{\Delta x}$  

•  $2x+\Delta x$  

• 4

• 5

• 6

• 7

• 2a

• 2a - h

• 2a + h

• 2h

• 2a - 2

• 2a - h - 2

• 2a + h - 2

• 2h - 2

Find the derivative of $f\left(x\right)=-2x^2+4x+6$ .

•  $-4x$  

•  $-4x+\text{4}$  

•  $-2x+4$  

•  $-4x+10$  

Tags

CCSS.HSF.IF.A.2

Differentiate y= x³ + 2x

• 3x³+2x
• 3x²+2
• 3x+2
• 3x

Find the difference quotient when f(x) = x² - x + 1

• 2x - 1 + h
• 4x - 5 - h
• -2x - 1 + h 
• x² + 2h

Tags

CCSS.HSF.IF.B.6

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the derivative of the given equation

f(x)=12-8x

• -8x

• -8s

• -8

• 12 - 8