2.4 Rates of Change & Tangent Lines

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

•  $5x^2$  

•  $10x$  

• 10

• DNE

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the slope of the line normal to the curve y = x² + x at x = 1?

• -1

• -1/2

• -1/3

• -1/4

Tags

CCSS.HSG.GPE.B.5

What is the equation of the line tangent to the curve y = x² at x = 1?

• y = 2x + 1

• y = 2x - 1

• y = -2x + 1

• y = x - 1

Tags

CCSS.HSG.GPE.B.5

CCSS.HSA.REI.C.7

When you are finding the instantaneous rate of change at a single point, you are finding the slope of the (a)   line at that point.

Tags

CCSS.HSF-LE.A.1B

If the slope of the tangent line is 0, what does that mean with about the graph of the tangent line?

• Tangent line is vertical

• Tangent line has a positive slope

• Tangent line is horizontal

• Tangent line has a negative slope