MT Calculus Review

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

• f ''(x)= 2 - 30x

• f ''(x) =  2-30x⁵

• f ''(x) = -30x⁵

• f ''(x) = -150x⁴

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

Find the derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴

• f '(x) = 6x⁵(x⁶ + 4)⁴

• f '(x) = 30x⁵(x⁶ + 4)⁴

• f '(x) = 30x⁶(x⁶ + 4)⁴

• 19.79898987

• 16.97056275

• 13.85640646

• 28.28427125