Calculus Semester Exam

What is the derivative of f(x)=5+x?

• f'(x)=5

• f'(x)=5+1

• f'(x)=0

• f'(x)=1

True/False: if the limit of a function exists at x=c, then f(c) exists.

• True

• False

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

True/False: if the limit of a function at x=c is 5, then f(c)=5

• True

• False

Tags

CCSS.HSF.BF.A.2

Find the limit

• 1
• 7/8
• 1738
• 8/7

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

• 7
• 0
• 7x
• 14

Find the derivative of the given equation
f(x) = 1/x²

• 1/2x
• -2x
• 2x
• -2x^-3

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.A.1

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

Tags

CCSS.HSF.IF.B.6

Find dy/dx for 
y = (x² + 1)³

• dy/dx = 3(x² + 1)²
• dy/dx = 3(2x)²
• dy/dx = 3(x² + 1)²(2x)
• dy/dx = 2x(x² + 1)²

Find the derivative: h(x)=(3x+2)(5x³+2x)

• 60x³+30x +12x-4
• 60x³-30x²+12x-4
• 45x³+30x²+12x+4
• 60x³+30x²+12x+4

Tags

CCSS.HSA.APR.A.1