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- 1. Multiple ChoiceFInd the derivative:
f(x) = (-2/3)x3 - (1/2)x2 + 9x-2x2 - x + 9-2x2 + x + 92x2 - x + 92x2 - x - 9 - 2. Multiple ChoiceFind the second derivative of the function:
f (x) = 2x - 5x6f ''(x)= 2 - 30xf ''(x) = 2-30x5f ''(x) = -30x5f ''(x) = -150x4 - 3. Multiple ChoiceSet up the derivative of y=(3x4 - 7)*(5x2 + 1)(12x3)*(10x)(3x4 - 7)*(10x) + (12x3)*(5x2 + 1)(3x4 - 7)*(10x) - (12x3)*(5x2 + 1)(3x4 - 7)/(10x) + (12x3)/(5x2 + 1)
- 4. Multiple ChoiceFind the derivative of y = 2x2 (3x - 4)6x3 - 8x218x2 - 16x15x2 - 6x6x - 4
- 5. Multiple ChoiceDifferentiate f(x) =(2/ x5) - 5.x5-3-10x6x5-5-10x-6
- 6. Multiple ChoiceFind the derivative of the given equation
f(x) = x4 + 4x3 - 2x2x3 + x2 - x4x3 + 12x2 + 4x4x + 12x - 4x4x3 + 12x2 - 4x - 7. Multiple Choice
Find the derivative.x4 cosx - 4x3sinxx4 cosx + 4x3sinx4x3cosx-4x3cosx - 8. Multiple Choice
Find the derivative f(x) = xex
f'(x) = ex
f'(x) = xex + xex
f'(x) = ex - xex
f'(x) = ex + xex
- 9. Multiple Choice
.
(3x2-2)cos(x3-2x)
-(3x2-2)cos(x3-2x)
cos(2x2-2)
sin(2x2-2)
- 10. Multiple ChoiceFind the derivative of g(x)=(3x-2)/(x2+2)9x2+23(x2+2)/(x2+2)2(-3x2+4x +6)/(x2+2)2(-3x2+10)/(x2+2)2
- 11. Multiple ChoiceThe position of an object is given as a function of time by x = 3t2 + 5t3 - 2t
What is the acceleration of the object at time t = 2 s?64 m/s/s60 m/s/s66 m/s/s70 m/s/s - 12. Multiple ChoiceThe velocity of an object is given as v = 2t + 3t3. what is the acceleration of the object at t = 2 s?38 m/s/s27 m/s/s16 m/s/s49 m/s/s
- 13. Multiple ChoiceIf the position function for a particle is s(t) = -t2 - t, what is the instantaneous velocity function for the particle?v(t) = -2v(t) = -2t - 1v(t) = t3v(t) = -t
- 14. Multiple ChoiceIf the position of a particle is represented by x(t) = -t2 + 1, what is its instantaneous velocity at t = 1?v = 0v = 1v = -1v = -2
- 15. Multiple ChoiceFind the derivative.
f(x) = -8x-3 + 5x - exf'(x) = -24x-4 + 5 - exf'(x) = 24x-4 + 5 - exf'(x) = 24x-2 + 5 - exf'(x) = 24x-4 + 5 - ex-1 - 16. Multiple ChoiceFind the derivative
f(t) = (t2 + 2t)5f'(t) = 5(2t+2)4f'(t) = 5(t2 + 2t)4f'(t) = 5(t2 + 2t)4(2t)f'(t) = 5(t2 + 2t)4(2t + 2) - 17. Multiple ChoiceFind the second derivative of
f(x) = x2 + ex - cosxf"(x) = 2 + ex + cosxf"(x) = 2x + ex + cosxf"(x) = 2x + xex - cosxf"(x) = 2x + ex + sinx - 18. Multiple Choicef(x)= 9/∛x
f'(x) =9x-1/3-3x-4/3-9x2/3-3x2/3 - 19. Multiple ChoiceFind y' if y=e3xe3xe2x03e3x
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