Partial Diretives quiz

1. 1What equations will help you to find partial diretives?

   1. Adf/dx
   2. Bdx/df
   3. Cdf/dy
   4. Ddy/df
2. 2find the two first partial Derivatives of this function given the point. f(x,y) = x^3y + sin(y) = (2,3). round to two decimals if needed

   1. Adf/dx = 18
   2. Bdf/dy = 9
   3. Cdf/dx = 9
   4. Ddf/dy = 18
3. 3part 1. Find the first two pairtal Derivaties of this function. f(x,y) = x^2 + sin(y)

   1. Adf/dx = 2x + sin(y)
   2. Bdf/dx = 2x + cos(y)
   3. Cdf/dy = x^2 + cos(y)
   4. Ddf/dy = 3x + cos(y)
4. 4part 2 what is the secondary partial deritives of the partial deritives of x in problem 3

   1. Afxx = - x^2 + sin(y)
   2. Bfxx = x^2 - sin(y)
   3. Cfxy = 2x - sin(y)
   4. Dfxy = x^2 - sin(y)
5. 5part 3 what is the secondary partial derites of the partial deriteves of y from problem 3

   1. Afyy = 2x + cos(y)
   2. Bfyx = 2x - sin(y)
   3. Cfyy = 2x + sin(y)
   4. Dfyx = -x^2 - sin(y)
6. 6Fxy = Fyx

   1. ATrue
   2. BFalse
7. 7When finding partial Derivatives it is the same function for [blank_start]slope[blank_end]. When you are given a point and find the partial derivative of x imagine that y [blank_start]does not[blank_end] change. For finding he partial derivative of y imagine that [blank_start]x does not[blank_end] change. When you have cosine in the function and you find the partial derivative the cosine changes to [blank_start]negative sin[blank_end]. when you have a number to the power of two the two [blank_start]moves in-front[blank_end] of the variable.

   1. Aslope
   2. Bdistance
   3. Cmidpoint
   4. Ddoes not
   5. Edoes
   6. Fx does not
   7. Gy does not
   8. Hx does
   9. Inegative sin
   10. Jsin
   11. Kmoves in-front
   12. Lstays
8. 8what is the correct definition of the Derivatives of a x.

   1. Adf/dx(a,b) = (f(a + h,b)-f(a,b))/h
   2. Bdf/dx(a,b) = limit of h -> (f(a + h,b) - f(a,b))/h
9. 9what is the definition of a partial derivative of y.

   1. Adf/dy = limit of h to 0 (f(a, b + h) - f(a,b))/h
   2. Bdf/dy = (f,a, b + h) - f(a,b))/h
10. 10label all of the correct ways to display Derivatives

    1. Adf/dx
    2. Bdx/df
    3. Cdf/dy
    4. Ddf/dy df/dx
    5. Edf/dy df/dy
    6. Fd^2f/dy^2
    7. Gd^2f/dy(dx)
    8. Hfxx
    9. Ifyy

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multaviarible calculus (week 6) Quiz on Partial Diretives quiz, created by jason wheeler on 11/09/2017.

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jason wheeler

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