calculus daily attendance 1/11

f'(x)=

• $\lim_{h\rightarrow0}\left(\frac{f\left(x+h\right)-f\left(x\right)}{h}\right)$

• $\lim_{x\rightarrow c}\left(\frac{f\left(x\right)-f\left(c\right)}{x-c}\right)$

• $\frac{\text{d}y}{\text{d}x}$

• an equation for the slope of the tangent line

 $\lim_{h\rightarrow0}\left(\frac{5\left(x+h\right)^2-5x^2}{h}\right)$  

•  $5x^2$  

•  $10x$  

• 10

• DNE

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

If a function f(x) has a derivative that is negative, what does that tell you?

• The function f(x) is increasing

• The function f(x) is decreasing

•  $f\left(x\right)<0$  

• Nothing other than  $f'\left(x\right)<0$  

Tags

CCSS.HSF.IF.B.4

 $\lim_{h\rightarrow0}\ \frac{e^{\left(x+h\right)}-1}{h}$  This limit will compute the derivative of what f(x) function? At what x value?

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

Which is NOT a term for slope?

• rate of change

• derivative

• rise over run

• tangent line

Tags

CCSS.8.EE.B.5