Find the Partial Derivatives of the functions with respect to each variable -1/2 13) f(x, y, z)=x- Vy² +z? Ans. f, =1, f, =-lv² +z*}? +z²)"² I. =-z(v² +z°}? -1/2

Q: Find the derivative of fl6)-32" ). (v²+5) tan (5x

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Q: The maximum directional derivative of f(z,y,2) sin(zy)-ya +10 at (-1, 2, 0) is Question 5

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Q: Q4: Find the derivative of the function at P, in the direction of A 2 1) f(x, y) = 2xy-3y², P.…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 3. Find the derivative of y with respect to x in the followin u? a) у3 u = 3x' - 2 and u' + 1 b)…

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Q: 3. From results obtained in Secs. 21 and 23, determine where f'(z) exists and find its value when…

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Q: Find the derivative of the function at P, in the direction of A. f(x,y) — - Зху + 4y*, Po(-6, - 5),…

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Q: Find the partial derivative dz for the function z = cos(x³ +y²).

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Q: Q2// A) Derivative following functions by using chain rule m 1) y = Vu, 2) y = 4u, -Va+1 Vx+1

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Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (ans.: (3x-2) a)…

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Q: a) Describe the curve obtained when we make y = 2 and 2= √2 a f b) Represent on this curve the…

A: Given That : y=2 and z=2 To Find : a) Describe the Curve obtained when y=2 and z=2 b) Represent on…

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. 6. V12…

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

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Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

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Q: f(«, у, 2) — sec (9г + 3уг) fa = | fy = f: = ||

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Q: Solve the partial differentiabion equation +6.0 = 2-y Ox Show that the gereral aoludion 2.

A: Given. the partial differential equation                            ∂2z∂x2+5∂2z∂x∂y+6∂2z∂y2=2x-y…

Q: The directional derivative of the function = x? - xyz + y at the point (1, 2, -1) in the direction…

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Q: 4) Find the total derivative of the function: a.f(x, y) = ex²+y² 1 c. T(l,g) = 2₁ 2TT. b. z = x siny…

A: Total derivative of a function f(x,y) is given by df=fx dx+fy dywhere fx=∂f∂xfy=∂f∂y

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A: The general solution of a differential equation always contains a constant of integration. The…

Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

A: Let fx=1+e-xsin 4x

Q: 5z²)* 4/3 %3D

A: (3). The function is given by Hz = 1-5z243 To evaluate: The derivative of the function.

Q: Series Solution Method. In each of Problems 1 through 20, solve the given differential

A: Given,         y''+xy=0;        x0=0