definite integrals and derivatives

• 2/3 x³
• 2x+C
• 4x+C
•  2/3 x³ +C 

Tags

CCSS.7.EE.A.1

• x² + C
• 1/2 x² + C
• 1/4 x² + C
• 2x² + C

• 4 sin(x) + C
• sin(x) / 4 + C
• -4 sin(x) + C
• -sin(x) / 4 + C

• -2 cos(x) + C
• 2 cos(x) + C
• cos(x) / 2 +C
• - cos (x) / 2 +C

Tags

CCSS.HSF.TF.B.7

• 2 tan(x) + C
• sec(x)tan(x) + C
• tan ²(x) + C
• tan(x) + C

Tags

CCSS.HSF.TF.B.7

The integration of f(x)= 1/x dx

• ln IxI + C
• x² /2
• -x²/2
• -2x²

Find the second derivative of
f(x) = x² + e^x  - cosx

• f"(x) = 2 + e^x + cosx
• f"(x) = 2x + e^x + cosx
• f"(x) = 2x + xe^x - cosx
• f"(x) = 2x + e^x + sinx

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

Find the derivative.
 f(z) = 1/(3z²) + 4z³

• f'(z) = 6z³ + 12z²
• f'(z) = 6z + 12x²
• f'(z) =  -2/(3z³) + 12z²
• f'(z) = -6/z² + 12z²

If the position of a particle is represented by x(t) = -t² + 1, what is its instantaneous velocity at t = 1?  

• v = 0
• v = 1
• v = -1
• v = -2