Differentiation Rules & Tangents

Differentiate y= x³ + 2x

• 3x³+2x
• 3x²+2
• 3x+2
• 3x

find 

• y = 2 x^-1
• y=2 x^-2
• y= −2x^-2
• y= −2 x^-1

Tags

CCSS.HSF-IF.C.7A

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

• 7
• 0
• 7x
• 14

Let f be the function that satisfies f(3+h) = f(3) + 2h - 3h² - 7h³ for all real numbers h. Find f'(3)

• -3

• 2

• 3

• 7

When you plug a given point into the derivative of a function, you get this.

• tangent line

• normal line

• slope

• average rate of change

Tags

CCSS.8.EE.B.5

Find the slope of      y= 3x² - 5 using the point x=2

• 10
• 11
• 12
• 13

f(x) is graphed, Select all the x values where f(x) is not differentiable.

• -9

• 0

• 5

• 9

The tangent line to the curve y = x³ - x at x = 1 intersects the curve at another point: find its coordinates.

• (-2, -6)

• (-1, 0)

• (0, 0)

• (2, 6)