Derivatives (power, product, quotient)

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

• 7
• 0
• 7x
• 14

Find the derivative of the given equation
f(x) = -4x

• 4
• x
• -4
• 0

Tags

CCSS.HSF.IF.A.2

• 0

• not differentiable

Answer explanation

Remember that e is a mathematical constant!

Tags

CCSS.HSF.LE.A.1

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

• 1 - 2x
• -2x
• -2
• -1

Tags

CCSS.HSF.IF.A.2

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSA.APR.A.1

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

Find the second derivative of the following functions with respect to x.
y=3x²+5x-1

• 6x+5
• 3x+5
• 5
• 6

Answer explanation

First, rewrite the function using rational exponents!

Tags

CCSS.HSN.RN.A.2