Differentiation

The derivative of x⁴ is:

• 1 x³
• 2 3x⁴
• 3 4x³
• 4 4x⁴

The derivative of sin x is:

• 1 -cos x
• 2 -sin x
• 3 cos x
• 4 tan x

The derivative of e^x is:

• 1 x e^(x-1)
• 2 1
• 3 ln x
• 4 e^x

The derivative of ln x is:

• 1 x
• 2 1/x
• 3 ln x / x
• 4 e^x

If y = x² sin x, then dy/dx is:

• 1 x² cos x
• 2 2x sin x
• 3 2x cos x
• 4 2x sin x + x² cos x

The function f(x) = x² - 4x has a minimum at x equal to:

• 1 -2
• 2 0
• 3 2
• 4 4

The derivative of a constant is:

• 1 The constant
• 2 1
• 3 Infinity
• 4 0

The derivative of cos x is:

• 1 tan x
• 2 -sin x
• 3 sin x
• 4 -cos x

The derivative of x² + 3x + 5 is:

• 1 x + 3
• 2 x² + 3
• 3 2x + 3
• 4 2x + 5