Product Rule

Let y = (x - 1)(x + 2). Find dy/dx.

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

Calculate the derivative using the product rule

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Find the derivative.

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Calculate the derivative.

• f'(x)=x²cos(x)+2xsin(x)

• f'(x)=x²sin(x)+2xcos(x)

• f'(x)=x²sin(x)+2xsin(x)

Calculate the derivative.

• f'(x)= -5xsin(x)+cos(x)

• f'(x)= 5xsin(x)+5cos(x)

• f'(x)= -5xsin(x)+5cos(x)

Calculate the derivative.

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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

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx