Suppose that g(x, y) = xf(e"v´). Find g„, 9y and gyæ in terms of the function f and its derivatives.

Q: Find derivative of the following function. 5x -5x y%3D dy

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Q: Find the derivatives of the functions in Exercise y = (1 + t^2) cot-1 2t

A: The given function is y=1+t2cot-12t.

Q: find fxx(x,y) and fxy(x,y) derivatives for the following function z=f(x,y)= e^x^2 +y^2

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Q: - 9x Find the derivative of y with respect to x if y = e dy %3D dx

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Q: Find the derivative of the function at P in the direction of A g(x, y) = x - (v² /x)+ /3 sec*(2xy),…

A: To find: The derivative of the function at P0=1,1 in the direction of  A=12i+5j Given information:…

Q: find the derivative of the function at P0 in the direction of u. ƒ(x, y) = 2x2 + y2, P0(-1, 1), u =…

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Q: If z=(x+y)e^y and x=7t and y=1−t^2, find the following derivative using the chain rule. Enter your…

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Q: compute the derivatives indicated. f(x, y) = 3x²y – 6xyª, and ax2 ay2

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: Find the derivatives of the functions in Exercise

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Q: Assume mmh (x) = f(g(x)) such that the first an exist g Second derivatives of both of and What is b"…

A: Assume h(x) = f(g(x)) such that the first and second derivatives of both f and g exist  We have to…

Q: Find the derivatives of f(x)=(ax4+b)6   and   f(x)=axe-bx+15 Assume that a and b are constants.

A: Given query is to find the derivative of the expression.

Q: Find the directions in which the function f(x,y) = x²y + e* sin(y) Increase and decrease most…

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Q: Find the third derivative. 1 (x + y)Z + (x – y)Z = a

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Q: compute the derivatives indicated. g(x, y) = xe¯*Y, 8xy(-3, 2) &ку(-3, 2)

A: For a function in two variables the partial derivative with respect to one variable, say x, is…

Q: FIND THE SECOND DERIVATIVE OF THE FOLLOWING IN ITS SIMPLIFIED FORM. x = t/t-1 , y = t2/t2-1

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Q: Find the differential d4y of the function y=x4.

A: Given function is

Q: Let f(x, y) = V xy. Find the derivative of f. af 1 ду 2

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Q: find the derivative of the function at P0 in thedirection of v. ƒ(x, y) = 2xy - 3y2, P0(5, 5), v =…

A: The given function is ƒ(x, y) = 2xy - 3y2. Note that fx=2y    and  fy=2x-6y. at P0=5,5,  fx=10   and…

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

Q: Find the first and second derivatives of the functions w = ez(z - 1)(z2 + 1)

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Q: Find the derivative of y with respect to x. 8x y = tan 3 - 24 O A. 64x2 + 9 O B. 64x2 + 9 24 Oc.…

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Q: Find the two first-order derivatives of the function f(x, y) = 2xy² – x² +y* You must show work.

A: ∂f/∂x = fx(x,y) = d/dx [2xy2 - x2 + y4]                       = 2y2 - 2x ∂f/∂x = fx(x,y) = 2(y2 -…

Q: f(x, y) = e²+y² = e&+y?

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Q: Find the derivative of this complex function: where z=x+jy (2+jj?

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Q: compute the derivatives indicated. g(x, y) = xe−xy , gxy (−3, 2)

A: Given function is: gx,y=xe-xy Differentiating above  partially  with respect to x we get,…

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y 2xe X- 2e X O 2xeX O 2xeX +…

A: Finding the derivative

Q: Find the derivative of the function at Po in the direction of u. f(x, y) = In( 6 x - 3 y), Po(-7, -4…

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Q: Let y = f(x), where f(x) = x4 − 5x. Find the differential of the function.

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Q: Calculate the second derivative of the function y = f (x) defined by the equation x3 + y3 +3xy +…

A: Explanation:

Q: Find the derivative of y with respect to t. y = t(In 1t)2

A: The given function,  y=t ln 1t2

Q: If z = (x + y) ev and x = 5t and y = 1 – t², find the following derivative using the chain rule.…

A: We are given that z=(x+y)ey,  x=5t, and y=1-t2. Now, we need to find dzdt.

Q: If z=(x+y)e^y and x=7t and y=1−t^2, find the following derivative using the chain rule. Enter your…

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2…

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: Find Zxx=Zyy=Zxy=

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Q: Find the derivative of y with respect to x. - 4x y = (3 + 12x) e dy %3D dx

A: Given function is

Q: Find the derivatives of the functions u = 5x + 1/2√x

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Q: find the derivative of the function at P0 in the direction of u. ƒ(x, y) = 2xy - 3y2, P0(5, 5), u =…

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Q: Find the derivative using the theorems on derivatives. dx x2-2 1 y = 2.y = (x? – 1)³(x² + 3)? x3+4x…

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Q: I) Find the derivative of each function a)y =x' In x b)y = 4x'e c)y = eF

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Q: Find the derivative of function ei, x#0 1 еx, f (x) = 0. at xo = 0 X = 0

A: Find the derivative of the given function.   Given: fx=e1x, x≠00, x=0

Q: find the derivative of the function at P0 in thedirection of v. ƒ(x, y) = 2x2 + y2, P0(-1, 1), v =…

A: Given: fx,y=2x2+y2  We know that, The direction of v is the unit vector obtained by dividing v by…

Q: Find the derivative of the function. y = In) x +6. (a)"* g(x) = log,(x) 9'(x) = (b) y = x5x + 2 (c)

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Q: Find the derivative. COSx a) f(x) = In %3D x2-4 4 b) g(x) = Vx + e2x + Tt

A: Given : (a) f(x)=ln(cosxx2−4)

Q: - 18x Find the derivative of y with respect to x if y = e dy %3D dx

A: We have to find the derivative

Q: Find the derivative of y with respect to x. y = tan -1V3x O A. V1- 3x 1 O B. 2(1 + 3x)/3x 3 Oc.…

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Q: Find the derivative of the given function. 5x y= In 6+x dy xp %3D

A: SOLUTION-

Q: Find the derivative of the function. V y= In 8v +5 dv

A: NOTE: Refresh your page if you can't see any equations. . take derivative apply chain rule  so…

Q: Find derivatives of the functions defined as follows:

A: Our Aim is to find the derivative of the function given below:-y=t2 e2ttt+e3t-(i)