Product Rule Derivatives

Use the product rule to find the derivative. $f\left(x\right)\ =\ -x^3\left(3x^4-2\right)$  

•  $-3x^2+12x^3$  

•  $-21x^3+6x$  

•  $-21x^6+6x^2$  

•  $-84x^6-6x^2$  

Tags

CCSS.HSA.APR.A.1

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

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Tags

CCSS.HSA.APR.A.1

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

• 0

• 1

• 2

• 3

Tags

CCSS.HSF.IF.A.2

• 5x⁴ + 20x³ - 2
• -160x⁷+140x⁶ - 48x³ - 24x²
• -80x⁷+ 60x⁶ + 32x³ - 24x²

Tags

CCSS.HSA.APR.A.1

• -36x⁵ + 16x³
• 2x⁴ + 8x³
• -12x⁵
• -6x⁶ - 44x⁴

Tags

CCSS.HSA.APR.A.1

• 3x^2 – x
• x^3 + x^2 + x
• 3x^2

Tags

CCSS.HSF-IF.C.7C

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

Which of the following is the product rule for derivatives utilizing the original function h(x) = f(x)g(x) ?

• h^'(x)= f^'(x)g^'(x)

• h^'(x)=f^'(x)g^'(x) + f(x)g(x)

• h^'(x)=f^'(x)g(x) - f(x)g^'(x)

• h^'(x)=f^'(x)g(x) + f(x)g^'(x)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the derivative of sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)