The fifth-order partial derivative ∂5ƒ/∂x2∂y3 is zero for each of thefollowing functions. To show this as quickly as possible, whichvariable would you differentiate with respect to first: x or y? Try toanswer without writing anything down. ƒ(x, y) = xey2/2

Q: Find the partial derivative fx and fy of the given function 3x f(x, y) = -y2 :/ cos(r? – - t + 1)dt.

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Q: Compute the indicated derivative using the chain rule. dy x = 1 – t/3, y = 8t – 1; dy %3D

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Q: Use the Chain Rule to evaluate the partial derivative at the point specified. ∂h/∂q at (q, r) = (3,…

A: use the chain rule to evaluate the partial derivative dhdq at a point q,r=3,2  where hu,v=uev, u=q3,…

Q: Find the requested partial derivative. dz 3 if z° = z+ xy - 1 and y = x+ y- 1 dy 3

A: We have to find partial derivative

Q: Find ðw/as and aw/at using the appropriate Chain Rule. Function Values w = y3 – 5x?y x = es, y = et…

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Q: Find the indicated partial derivative(s). f(x, y) = x7y8 – x6y7; fxxx, fxyx fyxxx(x, y) fxyx(x, y)

A: We have to find the partial derivative

Q: Determine the first order partial derivative of the following: F(x, y) = cos(e^t) dt and…

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Q: 011) For the z=(2x+3y)10,which is correct partial derivative? * b. fx=20(2x+3y)9 O d. fz=30(2x)9 a.…

A: Given: z = (2x+3y)10 To find: Correct partial derivative.

Q: Find the particular anti derivative that satisfies the following conditions: dy/dx=3x+5/sqrt3 of x ;…

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Q: Find aw/os and dw/dt using appro Function Values w- sin(ox + 7y) S-0, t- dw dw at Evaluate each…

A: Given the function

Q: Find the indicated second-order partial derivative for f(x,y), shown below. 11 In x fy (x.y) if…

A: The given function is - f(x,y)=11 ln xy The main objective is to evaluate fyy(x,y). The derivative…

Q: Which one of the following partial derivative is not correct for the function f(x, y, z)= xy²z of =…

A: f(x,y,z)=xy2z3

Q: Find the given partial derivative. f(x, y) = 2 sin(6x² – y). fy(0, ) =?

A: First we find the partial derivative with respect to y

Q: Find the indicated partial derivative of the function f(x, y) = sin(2x + 5y). Answer: fyæy(x, y) =|…

A: Solve the following

Q: Find the partial derivative of z with respect to u, if z = x^4+x(^2)y, x = s+2t-u and y=stu^2, when…

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Q: Given that f (x, y) = sin Enter a 10 significant figure approximation to the partial derivative a10…

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: Compute the indicated partial derivative. 5x g(x, y) = x + 2y a?g ду? =

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Q: Find ðw/ds and dw/at using the appropriate Chain Rule. Function Values w = sin(4x + 5y) x = s +t, y…

A: We will find out the required value.

Q: Compute the partial derivative: f(x, y) = sin(x" –- 3y) fy(0, ) =

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Q: Given the function of two variables f(x,v) = In(/x7+y7). The partial derivative with respect to x is…

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Q: Find the requested partial derivative. dz z= (3x +4y) ; (2,5)

A: Option D is the correct option. Use the chain rule to find the partial derivative for z w.r.t x.

Q: Find the equation of the tangent line for f(x) = 6 tan(x) at a = %3D a) Oy = 6/3 (z -) + + 12 b) Oy…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: dRdt=96t4 , R2=76 Find antiderivative R(t) =∫96t4 dt=96 ∫1t4 dt=96∫t-4 dt=96 ·t-3-3 +CR(t)=-32t3 +C

Q: Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = y - 9x2y x = e°, y = e S…

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Q: Find the second-order partial derivative fry (x,y) for the function, f(x, y) = 4x3 - 5x?y-3y + 9

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Q: Use the Quotient Rule to compute the following: d ( t2 +1 at t = -4 %3D dt \ t2 – 1 The derivative…

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Q: Find ôw/as and aw/at using the appropriate Chain Rule. Function Values w = y3 – 6x?y x = e, y = et s…

A: The chain rule is a formula that expresses the derivative of the composition of two differentiable…

Q: Compute the partial derivative and evaluate at the given point. (a) f(x, y) = 3x?y + 4x³y? – 7xy4,…

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Q: what is of point Fyl-2,0) fexsy)=(x3ーy+g)s

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Q: Find the Partial Derivatives of the functions with respect to each variable 4) f(x,y)=\x² + y?

A: We have  f(x,y)=x2+y2 So we can write f(x,y)=(x2+y2)12 And we know that ∂(xn)∂x=nxn-1

Q: Find ôw/ds and aw/at using the appropriate Chain Rule. Function Values w = y3 - 10x?y x = e°, y = e…

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Q: Find the indicated second-order partial derivative for f(x,y), shown below. 11 In x fyy (x.y) if…

A: Please refer the attached image for complete solution.

Q: Find the gradent of x, y)-- and the largest value of the directional derivative of fx y can have at…

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Q: Given that e2y, 10x2+4. f (x, y) = sin Enter a 10 significant figure approximation to the partial…

A: We will use matlab to find the answer

Q: If f(x, y) = y cos(x) – x³ In(y), find the second partial derivative dy dx

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Q: Find dw/as and ow/at using the appropriate Chain Rule. Function Values sin(4x + 5y) x = s + t, y = s…

A: Explanation of the answer is as follows

Q: Find əw/as and aw/at using the appropriate Chain Rule. Function Values w = y3 - 10x?y x = e, y = et…

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Q: Find the partial derivative. 3p f (p, q) = e af

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Q: Compute the partial derivative: f(x, y) = sin(x® – 5y) fy(0, T) =

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Q: Find using the appropriate Chain Rule for W =y- 7x*y where x = e° and y = e", and evaluate the…

A: The given function is w=y3-7x2y where x=es and y=et. Differentiate the function w=y3-7x2y partially…

Q: Use the limit definition of the partial derivative to verify the formulas

A: By limit definition  of the partial derivative, ∂fx,y∂x=limh→0fx+h,y-fx,yh ,…

Q: Q11) For the z= (2x+3y)10,which is correct ?partial derivative

A: Given,  z = (2x + 3y)10 To find the partial derivatives.

Q: Use the Chain Rule to evaluate the partial derivative at the point specified. ag at s = 9, where…

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Q: Find ôw/as and ôw/at using the appropriate Chain Rule. Function Values w = sin(7x + 8y) x = s + t, y…

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Q: Finnd the first partial derivatives of the given functions with respect to each independent…

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Q: Find aw/ds and aw/at using the appropriate Chain Rule. Function Values w sin(2x + 3y) X = s+t, y = S…

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Q: Find aw/as and dw/at using the appropriate Chain Rule. Function Values w = sin(8x + 9y) x =s+t, y…

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Q: Determine the first order partial derivative of the following: 1. F(x, y) = cos(e^t) dt

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Q: Use the Chain Rule to calculate the partial derivative. Express the answer in terms of the…

A: Given functions are