Basic Derivatives

What is the derivative of sin(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

What is the derivative of cos(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

FInd the derivative:
f(x) = (-2/3)x³ - (1/2)x² + 9x

• -2x² - x + 9
• -2x² + x + 9
• 2x² - x + 9
• 2x² - x - 9

Differentiate f(x) =(2/ x⁵) - 5.

• x⁵-3
• -10x⁶ 
• x⁵-5
• -10x^-6 

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

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

At which x-value is f continuous but not differentiable?

• a
• b
• c
• d

Find the derivative of: f(x) = 4x⁴-3x³-9

• 16x⁴-9x³

• 16x⁴-9x³-0

• 16x³-9x²-9

• 16x³-9x²