Product and Quotient derivative practice

• 3x² – x

• x³ + x²+ x

• 3x²

• f'(x)=(2x⁵ – 10)/ (x⁵–5)²

• f'(x)=(10x⁴)/ (x⁵–5)²

• f'(x)=2(x⁵– 5)/ (x⁵–5)²

• f'(x)=(2x⁵)/ (x⁵–5)

Find the derivative

• 8x⁴ -60x²
• 16x⁴
• (8x⁴ -60x²)/(2x²-5)²
• 3x

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

Which shows the quotient rule correctly?

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

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

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)=(x³-2x)²

• 6x⁵ - 12x³+8x

• 6x⁵ - 16x³+8x

• x⁶-4x⁴+4x²

• 6x⁵ - 16x^3-8x

Differentiate  ^{$y=\frac{12}{x^2}$}  

• $\frac{24}{x}$

• $-\frac{24}{x^3}$

• $-\frac{24}{x}$

•  ^{$\frac{6}{x^3}$}