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Twelfth Grade (Grade 12) Derivatives Questions

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Grade 12 Derivatives
If y=10x2-1, then dydx=
  1. (ln10)10x2-1
  2. (2x)10x2-1
  3. (x2-1)10x2-2
  4. 2x(ln10)10x2-1
  5. x2(ln10)10x2-1
Grade 12 Derivatives
Find where the function f(x)=xln(x2) is increasing and where it is decreasing.
  1. Increasing on (-∞,0) and decreasing on (0,∞)
  2. Increasing on (-∞,-1e)∪(1e,∞) and decreasing on (-1e,0)∪(0,1e)
  3. Increasing on (-1e,0)∪(0,1e) and decreasing on (-∞,-1e)∪(1e,∞)
  4. Increasing on (-∞,∞)
Grade 12 Derivatives
If x2+xy+y3=0, then, in terms of x and y, dydx=
  1. -2x+yx+3y2
  2. -x+3y22x+y
  3. -2x1+3y2
  4. -2xx+3y2
  5. -2x+yx+3y2-1
Grade 12 Derivatives
Find the intervals of increase and decrease. f(x)=ex(3x2+2x-5)
  1. Increase: (-∞,-3)∪(0,13);  Decrease: (-3,0)∪(13,∞)
  2. Increase: (-∞,-3)∪(13,∞);  Decrease: (-3,13)
  3. Increase: (-3,0)∪(13,∞);  Decrease: (-∞,-3)∪(0,13)
  4. Increase: (-3,13);  Decrease: (-∞,-3)∪(13,∞)
Grade 12 Derivatives
f(x)=sec(9x2)
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