Derivatives: Power, Product & Quotient Rule

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x
• 6x⁵ - 16x³+8x
• x⁶-4x⁴+4x²
• 6x⁵ - 16x^3-8x

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²

Find the derivative: h(x)=(3x+2)(5x³+2x)

• 60x³+30x +12x-4
• 60x³-30x²+12x-4
• 45x³+30x²+12x+4
• 60x³+30x²+12x+4

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

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

Find the derivative: j(x)=(5x-2)/(2-4x)

• (-40x+2)/(2-4x)²
• 2/(2-4x)²
• -2/(2-4x)²
• 2/(2-4x)

Find the derivative: p(x)=(4x²+2)/(3-7x)

• (-28x²+24x+14)/(3-7x)²
• (-28x²+24x+14)/(3-7x)
• -84x²+24x-14
• (-84x²+24x-14)/(3-7x)²

Find the derivative:  y = (x³-1)/(x³)

• 3x/x⁶
• 3/x⁴
• 3/x⁶
• (3x - 1)/x³

Find the slope of      y= 3x² - 5 using the point x=2

• 10
• 11
• 12
• 13

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

Tags

CCSS.HSS.ID.C.7

What is the derivative of sin(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)