Calculus Quiz for Final

Find the limit as x approaches 3 from the left

• 4
• 3
• 2
• DNE

Tags

CCSS.HSF.IF.A.2

• 0
• -2/9
• Infinity
• -5/6

Find the derivative using the definition. y = 3x² - 4x + 2

• 6x-6
• 6x-2
• 4-6x
• 6x-4

• 3/2 or 1.5
• 3
• 0
• D.N.E

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

• -1

• -1/2

• -1/3

• -1/4

What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?

• y+1=2(x+1)

• y=2x-1

• y=2x+2

• y= -x-1

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x
• 6x⁵ - 16x³+8x
• x⁶-4x⁴+4x²
• 6x⁵ - 16x^3-8x

Find dy/dx for
y = 3^2x+5 

• dy/dx = 3^(2x+4)
• dy/dx = (3^(2x+4)) ln 3
• dy/dx = 3^(2x+5) ln3
• dy/dx = (3^(2x+5)) (ln 3) (2)

Tags

CCSS.HSF-IF.C.8B

Find the derivative:
y=5x²e^3x

• y'=10xe^3x(2x+3)
• y'=5xe^3x(3x+2)
• y'=10ex^3x(3x+2)
• y'=5xe^3x(2x+3)

The position function x(t)=7t²-18t-7 is given. What is the velocity function?

• v(t)=14t-18
• v(t)=14t+18
• v(t)=18t-14
• v(t)=18t+14