Want to see correct answers?
Login or join for free!
  Math Worksheets
Looking for Math worksheets?
Check out our pre-made Math worksheets!
Share/Like This Page
Filter By Grade

Grade 12 College

Browse Questions

Derivatives Questions - All Grades

You can create printable tests and worksheets from these Derivatives questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Previous Page 4 of 7 Next
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
Grade 12 Derivatives
If sin(x+y)=log(x+y) then dydx=
  1. tan(x+y)
  2. log[tan(x+y)]
  3. -1
  4. 1
Grade 12 Derivatives
What is limh→0cos(π3+h)-cos(π3)h?
  1. 0
  2. 12
  3. √32
  4. -√32
Grade 12 Derivatives
Determine the intervals of increase and decrease. f(x)=x2x2-1
  1. Increasing on (-∞,0) and decreasing on (0,∞)
  2. Increasing on (-√2,0)∪(√2,∞) and decreasing on (-∞,-√2)∪(0,√2)
  3. Increasing on (-∞,-1)∪(1,∞) and decreasing on (-1,1)
  4. Increasing on (-∞,-1)∪(-1,0) and decreasing on (0,1)∪(1,∞)
Grade 12 Derivatives
If y=x2ex, then dydx=
  1. 2xex
  2. x(x+2ex)
  3. xex(x+2)
  4. 2x+ex
  5. 2x+e
Grade 12 Derivatives
If y=x5cosx, find d2ydx2.
  1. -20x3cosx
  2. 20x3cosx-x5cosx
  3. 20x3cosx-10x4sinx-x5cosx
  4. 20x3cosx+x5cosx
  5. 20x3
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,∞)
Previous Page 4 of 7 Next