Derivative Review

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

• 1 - 2x
• -2x
• -2
• -1

Solve f '(2)  for 
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

Differentiate f(x) =(2/ x⁵) - 5.

• x⁵-3
• -10x⁶ 
• x⁵-5
• -10x^-6 

Find the slope of f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

• A
• B
• C
• D

Use the product rule to determine the derivative.

• 4x⁸+60x⁶+12x³
• 12x⁷+36x²
• 32x⁷+36x²
• 20x⁶

.

• The Chain or Quotient Rule
• The Quotient and/or Chain Rule
• Only the Chain Rule
• Only the Quotient Rule

.

• e^(2x)
• (x^2-2)e^(2x)
• 2xe^(x^2-2)
• (2x-2)e^(x^2-2)

.

• (3x²-2)cos(x³-2x)

• -(3x²-2)cos(x³-2x)

• cos(2x²-2)

• sin(2x²-2)

.

• 2xe^(x-1)-5
• e^x-5x
• 2e^x-5
• e^x-7x