Calculus Product Rule Derivatives

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

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

• 4x²+8x+1
• 20x⁶+5x⁴
• 28x⁶+5x⁴-16x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• -25x⁷ - 230x⁵ + 10x² - 8
• 125x⁹ - 50x⁴ + 50x³ - 40x
• -175x⁶ + 100x⁴ + 20x
• -50x⁶ + 20x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• 3x^2 – x
• x^3 + x^2 + x
• 3x^2

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• 120x⁷ + 90x⁵ + 88x³ + 50x
• 15x⁸ + 255x⁶ + 142x⁴ + 25x² - 5
• 60x⁷ + 30x⁵ + 100x³ + 50x
• 60x⁷ + 60x⁵ - 12x³

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the derivative of f(x) = x²sinx

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

Tags

CCSS.HSA.SSE.B.3

Find the derivative.

 $P\left(x\right)=\left(x^6-5\right)\left(x^4+5\right)$  

•  $P'\left(x\right)=10x^9+20x^5-30x^3$  

•  $P'\left(x\right)=10x^9+30x^5+20x^3$  

•  $P'\left(x\right)=10x^9+30x^5-20x^3$  

•  $P'\left(x\right)=10x^9-30x^5-20x^3$  

Calculate the derivative, if f(x) = -25xcos(x)

• f'(x)= -25xsin(x) + 25cos(x)

• f'(x)= -25xsin(x) - 25cos(x)

• f'(x)= 25xsin(x) - 25cos(x)

Calculate the derivative if f(x) = 2x³ sin(x)

• f'(x)= -2x³ sin(x) + 6x²cos(x)

• f'(x)= 2x³sin(x) + 6x²cos(x)

• f'(x)= -2x³cos(x) + 6x²sin(x)

• f'(x)= 2x³cos(x) + 6x²sin(x)

Calculate the derivative if f(x) = x² cos(x) + 10x²

• f'(x)=x²cos(x)+2xsin(x) + 20x

• f'(x)=-x²sin(x)+2xcos(x) + 20x

• f'(x)=x²sin(x)+2xsin(x) + 20x