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Derivatives Questions - All Grades

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Grade 12 Derivatives
Find the derivative of the following function. f(x)=3x5-10x2+5x+7+13x-3x3
  1. f(x)=15x4-20x+5+7x-9x4
  2. f(x)=15x4-20x+18-9x2
  3. f(x)=15x4-20x+5-13x2+9x4
  4. f(x)=3x3-23-3x2
Grade 12 Derivatives
Find the derivative. f(x)=3x4
  1. f(x)=3x3
  2. f(x)=12x
  3. f(x)=12x3
  4. f(x)=4x3
Grade 12 Derivatives
Differentiate. f(x)=3x4+9x-73x4
  1. f(x)=12x3+9x+743x3
  2. f(x)=12x3+92x+2143x
  3. f(x)=12x3+92x+2833x7
  4. f(x)=12x3+9-734x3
Grade 12 Derivatives
What is ddx(xlnx)?
  1. xlnx
  2. (lnx)x
  3. (2x)(lnx)(xlnx)
  4. (lnx)(xlnx-1)
  5. 2(lnx)(xlnx)
Grade 12 Derivatives
Find dydxify=3x23-4x12-2.
  1. 2x13-2x-12
  2. 3x-13-2x-12
  3. 95x53-8x32+C
  4. 2x-13-2x-12
Grade 12 Derivatives
Grade 12 Derivatives
If f(x)=lnxx, for all x>0, which of the following is true?
  1. f is increasing for all x greater than 0
  2. f is increasing for all x greater than 1
  3. f is decreasing for all x between 0 and 1
  4. f is decreasing for all x between 1 and e
  5. f is decreasing for all x greater than e
Grade 12 Derivatives
Find ddx(lne2x).
  1. 1e2x
  2. 2e2x
  3. 2x
  4. 1
  5. 2
Grade 12 Derivatives
Find dydx if ycosx=1.
  1. ysinx
  2. ytanx
  3. ycosx
  4. ycotx
Grade 12 Derivatives
If x2+y2=81, find dydx.
  1. -81xy
  2. -xy
  3. -81yx
  4. -yx
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