Derivative Rules Review

What is the derivative of xⁿ

• (n+1)xⁿ⁺¹
• (n-1)x^n-1
• nxⁿ⁺¹
• nx^n-1

What is the Product Rule

• uv' + vu'
• uv' - vu'
• uv - v'u'
• v'u' - vu

Find the derivative.

• sinx
• -sinx
• tanx
• -tanx

Given that y = (x+2)/(x-3), find y'.

• y' = -1/(x-3)²
• y' = -5/(x-3)²
• y' = (2x-5)/(x-3)²
• y' = (2x-1)/(x-3)²

Let y = (x - 1)(x + 2). Find dy/dx. [product rule]

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Let f(x) = (x - 1)(x + 2). Find f'(0)

[product rule, plug 0 into the derivative]

• 0

• 1

• 2

• 3

Calculate the derivative.

• f'(x)=x²cos(x)+2xsin(x)

• f'(x)=x²sin(x)+2xcos(x)

• f'(x)=x²sin(x)+2xsin(x)