y = f(x) x- (A) (В) (C) FIGURE

Q: hain Rule to find the

A: Here we have to use the chain rule and find the indicated partial derivative.  we have,

Q: 3. Find the gradient of the function and the maximum value of the directional derivative at the…

A: As per our guidelines,we are supposed to answer only one asked question.So kindly repost other…

Q: ag Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2/2, 7) where g(x,…

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Q: Consider a cost function C, and the average cost function C(x) A(x) = (a) Compute the derivative of…

A: Given the average cost function, A(x)=C(x)x

Q: Find indicated nh order partial derivative: ap+qu 2. if u= (x – xo)P(y- yo)ª %3D

A: We will find the required partial derivative as following.

Q: Use the Chain Rule to evaluate the partial derivative ah at the point (q, r) = (1,2), where h(u, v)…

A: ∂h∂q=(∂h∂u×∂u∂q)+(∂h∂v×∂v∂q)∂h∂q=ev×4q3+uev×r2Substitute q=1 , r=2⇒u=q4=(1)4=1and v=qr2=1×(2)2=4

Q: The possible error involved in measuring each dimension of a rectangular box is ±0.1 mm. The…

A: Given: The dimensions of the box are x = 50 cm, y = 20 cm and z = 15 cm. The possible error involved…

Q: az QI. Find the az and ax partial derivative ду x² sin (y*) + xe³ – cos (z) = 3y – 6z + 8

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Q: Illustrate local linearity for the function f (x) = xsinx at x = l.

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Q: 2. 2. Let そニと X=UV, y = sin v, Use ナ chain chain Rule to find Ev.

A: 1) The given function z=e2x2y+3xy2 Differentiate with respect to x taking y as constant…

Q: Using the method of characteristics, find a solution to the partial derivative equation xux + uy = u…

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Q: Find the critical points of the function by using algebraic techniques (completing the square) or by…

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Q: dz Find using chain rule, where z=, V-,x-e", y-e". dt

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Q: What is the linearization L (x) of a function ƒ(x) at a point x = a? What is required of ƒ at a for…

A: linearization is finding the linear approximation to a function at a given point.It is given by,

Q: . Form the differential of the system of circles touching the y-axis at the origin.

A: The solution is given as

Q: second derivatives of f(x.y) = (x+y) e.

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Q: Explain in a sentence what the partial derivative of f with respect to x represents in the context…

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Q: ӘТ ӘР V

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Q: If z- tan and z- u + and y- -, fnd the folowing partal derivatives using the chain rule. Enter your…

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Q: COE Compute the mixed second order partial derivative of z =

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Q: Use implicit differentiation to help you find the value of the gradient for the equation x² – ev =…

A: given equation x2-ey=yx-2+8 claim- use implicit differentiation to help you find the value of the…

Q: Using method of sub., find the Anti-derivatives

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Q: Qa/ Explain the rule of maximum and minimum using Derivatives with an example?

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Q: Correction: Bonus Assignment, Exercise 8: Exercise: 8 Evaluate 1-x²-y² e-3(x²+y²+z²)² dz dydx

A: Given,   from limit we can say this follow x2+y2+z2=1 put this value in integral…

Q: of ) Find the first order partial derivative of and for the function f (x, y) = x/y -x²y+y² ây

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Q: F(1), p(y) - y - 1, F(Y) - F(y - 1), y - 2, 3, ...

A: Suppose that Y is random variable that takes on only integer value 1,2,.. and has distribution…

Q: Find the Partial derivative of z = x arctan y + y arccot x

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Q: 配一 X一y

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Q: continuous function h(x),

A: Differential equation

Q: Find both first partial derivatives. ху f(x, y): x2 + y2 f(x, y) = f(x, y) = Submit Answer

A: Find first partial derivatives

Q: invented

A: We have to give the example according to the given information

Q: Find both first partial derivatives. h(x, y) = e-(x° + y9) h,(x, y) = h,(x, v) =

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Q: Find both first partial derivatives. ху f(x, y) x² + y2 f,(x, y) = f,(x, y) =

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Q: 4) Use the Chain Rule instead of the Quotient Rule. 4 Find the derivative y= 2x +1

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Q: The curve y = 2x² +- k has a gradient of 5 when x 2. Calculate: (а) The value of k. (b) The minimum…

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Q: ompute the partial derivative: (1, y) = cos(x+ – 6y) -(0, т) —

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Q: Find both first partial derivatives. h(x, y) = e-(x7 + y?) %3D h,(x, y) = %3D h,(x, y) =

A: here we have to find the partial derivative.

Q: The maximum rate of change at a point on a function f(x,y,z) is да ylgr

A:

Q: Using the fact that In[u(x)v(x)] = In u(x) + In v(x), use the chain rule and the formula for the…

A: Given: lnuxvx=lnux+lnvxddxlnx=1x

Q: Can a function have more than one antiderivative? If so, how are the antiderivatives related?…

A: Can a function have more than one antiderivative? If so, how arethe antiderivatives related?…

Q: etermine whetter fie differential eguetion is linegr or non lineqY and Ne reasons-

A:

Q: For the three variables function: u(x, y, z) = [cosh-(x?). cot-(yz)] a3u Evaluate the Partial…

A: We have to find out the partial derivative of given function

Q: Use implicit differentiation to help you find the value of the gradient for the equation x^2 - e^y =…

A: Given x2-ey=yx-2+8

Q: function with form y = ax

A: Given,  A power function y=axp passes through the points 3,781 and 6,71296. The equation of power…

Q: Fozm a Partial Difpeential epualton Methad Equation using of eliminatian f prbiltray constant

A: We are given: xa+yb+zc=1⇒zc=1-xa+yb⇒z=c1-xa+yb--(1) ⇒p=∂z∂x=c-1a=-ca---(2)⇒q=∂z∂y=c-1b=-cb---(3)

Q: ar Let = 2x - 1. Integrate this partial derivative with respect to x, letting h(y) be an unknown…

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Q: az Find if yz – In z = x + y ax

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Q: af The maximum rate of change at a point on a function f(x, y, z) is |3D да ylgn ihi

A: