Suppose y is a differentiable function of r. Find y' if 2xy 3 2y3 + 5x4. y2 -

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 1. Z= ;d'z/dx² 1+x2 2. Y (3x+2)* ;y" 3.…

A: 1) Given: Z=21+x2 Differentiating Z with respect to x, dZdx=2×ddx1+x2-1       =2×-11+x2-2×ddx1+x2…

Q: Suppose x and y are variables (y is a function of x) that satisfy the equation *2- y³=12, What is…

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Q: Use implicit differentiation to find dz/ôx and əz/ây. esz = xyz az ax az ду || ||

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Q: If x= 2r – s and y =r+2s . Find in terms of derivatives with respect to r and s where U =U(x, y).…

A: Consider the provided question, Given, x=2r-s   and   y=r+2s Find ∂2U∂y∂x in terms of derivatives…

Q: 4. [ ]Find the derivative of y with respect to the given independent variable: Ins 7x (a) ex³y = 2x…

A: Given equation ex2y=2x+2y   As per our guideline, we  supposed to answer only the first three…

Q: usk 2: Find the derivative of 4x2 + 6y3 = 50 by filling the blanks. %3D (2 xD(x-)+x 6)(y³4)_=__ dy >…

A: We have, 4x2+6y3=50            ⋯⋯1 We know that, from basic derivative formula ddxkxn=n·kxn-1ddxk=0…

Q: find the total derivative of z = f(x,y) = 2x+xy-y2 where x=g(y)=3y2

A: Given function: z=2x+xy-y2 where x=3y2 Putting the value of x in z , we get…

Q: Find the derivative of the transcendental function. y' = y = 6e* x² +8 6(x²–2x+8)ex (x+8)²

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Q: Suppose that f(x, y) the point (x, y) = (2, – 6) is = xy. The directional derivative of f(x, y) in…

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Q: compute the derivative.  h(y) = y tanh(4y)

A: The derivative will be computed using the product rule of differentiation (fg)'=f'g+fg'. Also the…

Q: Find the derivative of f (z) = (2° – 5z) (2² + 6z – 6). a va la sin (a) f' (포) 3DD Please explain,…

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Q: Differentiate: F(y) (y + 9y°) yA - y?

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Q: If VE + vỹ 10 and y(1) = 81, find y'(1) by implicit differentiation. %3D %3D

A: Given that, The equation is, x+y=10                                      ...............(1) y(1) =…

Q: If Va + Vy = 11 and y(25) 36, find y'(25) by implicit %3D differentiation.

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

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Q: 9. Find dyldx by implicit differentiation: 3x³ – 8y² = 10y .

A: To find the implicit differentiation, we will start by taking d/dx on both sides.

Q: What is the derivative of (6 x+1)5 (4 x-21)16 (21 x-23)3 (3 x+25)4 y = In with respect to x?…

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Q: Obtain the derivative of the function y (3 sen(4x))° ( tgʻ(2x)) y = (sec(2x))* – 1

A: This question is based on Trignometric application and diffrentiation of function.

Q: If y = 4x³ + 2x² + 11, find the approximate value of y when x = 2.01, using differentials.

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Q: Economists have considered the output y of a manufacturing process as a function of the size of the…

A: The output of a manufacturing process as a function of the size of the labor is given as follows.…

Q: What is the derivative of f(x,y) y° at P = (3, 1) in the direction toward %3D Q = (4, –3)?

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Q: y" +6y' +10y=0; y(0) = 2, y'(0) =

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Q: 5. Use Implicit differentiation to find dy when y V x2 tya = 15x° +4siny 3

A: Using implicit differentiation find dydx for;  yx2+y2=15x3+4siny

Q: Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional and at the…

A: we will find the directional derivative

Q: Assuming y cos (3xz) = 5 defines z as a function of x and y. Differentiate

A: we have to derivative

Q: What is the derivative of y = sin1 (x² + 2)? dy dr /1-(z²+2)² dy O dr 2x V1-(2²+2)² O dz V1+(x²+2)²…

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Q: Suppose that f(x, y) = x*y². The directional derivative of f(x, y) in the directional and at the…

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Q: What is the derivative of y = tan-1(x2 + 1)? dy dr 2 1+( z²+1)² dy dr /1+(z²+1)² dy O dr V1+(2+1 )°…

A: To find derivative of y=tan-1x2+1

Q: Find dy/dx by implicit differentiation. (7x + y = 5 + x²y² (-2xy² – 2/7x + y ²2y – 8 y' =

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Q: Find an equation of the line tangent to graph of y =x2 + sin (Ex) at x=-1. A. 2x - y+2 = 0 B. 2x +…

A: To find the equation of tangent line of the given graph.

Q: Find the derivativeof the following function:

A: To determine derivative of the function.

Q: Use implicit differentiation to find dz/ðx and dz/ðy. x² + 4y² + 3z² = 7 dz dy

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Q: Compute central difference approximations for the first derivative of the function, y =[ elnx)2 , at…

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Q: Use the rules of differentiation to find the derivative of the function y= 3+6sin: a. y' = 3+6cosx…

A: To find the derivative of the below function. y=3+6sinx

Q: If Va + Vy = 6 and y(25) = 1, find y' (25) by implicit differentiation. %3D %3D

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Q: Evaluate the required second order partial derivative. Find fxy(5,-1), if f(x,y)= -2xe5y

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Q: y" – 4y' +4y = 0; y(0) =-1, y'(0) = 0

A: We have to solve the differential equation…

Q: Find the derivative of f(x, y) = (2x – y°, sin(ry), r²y*)

A: Given f(x,y)=2x-y3,sin(xy),x2y3 differentiate f(x , y) with respect to x we get…

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 ; d'y/dx 1. y = 2. Y = (7x + 2)5…

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Q: Use implicit differentiation to find dz/dx and dz/ðy. x2 + 4y2 + 7z2 = 6 az ax əz ду

A: We have to find dz/dx and dz/dy using implicit differentiation.

Q: Use the definition of partial derivative of a function f(x, y) = 3x² – xy? to illustrate fi and f2 '

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Q: Find the derivative of y with respect to x if y = (10x- 20x + 20) ex. %3D dy dx

A: We can make it easier for you

Q: Find the derivative, or y', of ³ – Vy = ¿y² + 6 at (2,1).

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Q: -2 In(x) Consider the function f(x, y) = 3y

A: We have to find the derivative of the function f(x,y) in the direction u=-5,2.…

Q: Find the gradient of the tangent to the curve xy“ + y+ ( log_(x – 2))² = 14 at the point (3, 2).

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Q: Suppose F(x, y) = 0 and y is a differentiable function of x. Explain how to find dy/dx.

A: It is given that F(x, y) = 0 and y is a differentiable function of x . For the function F(x, y) = 0…

Q: Find the partial derivative. Find fx(3, -7) when f(x,y) = 7x2-9xy. O -21 O -126 O 21 O 105

A: differrntiate partially with respect to x

Q: End fz(3) in terms of the joine pdf of X and Y if

A: From the given information, Let, f(x) be the density function of X. f(y) be the density function of…

Q: Find the partial derivative. z = sin (9x'y – 10æy?) dz

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Q: Find the derivative of f(z)=((11z+4)1/2)(e3z).

A: Given function f(z)=11z+412e3z