2 (y – k) y' = 4a Find the Derivative - d/dy Since 4a is constant with respect to y, the derivative of 4a with respect to y is 0.

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: Find the derivative of y with respect to x, dy/dx of X=y^3/3+y

A: The given equation is x = y3/3 + y Differentiate on both side with respect to x d/dx(x) = d/dx (…

Q: Find the derivative of y with respect to x. y = In (tan 1(5x)) dy dx

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Q: Find the derivative of y with respect to the independent variable. COS y = 10 cos ( OA. -10 COS TO…

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Q: Find the derivative of y with respect to s. y%3Dsec -1 (2s4 + 7) dy ds

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Q: Find the indicated derivative. Find OY for y2 = 8x – 7. dx dy dx II

A: topic - derivatives

Q: Find the derivative of y with respect to x for y = 7*. dy dx II

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Q: Find the derivative of the y with respect to x. Y=on (13x)+x dy/dx

A: Given  Y=13x+xdydx To find derivative of y with respect to x

Q: Find the derivative of y with respect to x for y = sinh 1(11/15x). dy 165 dx 2/1815x? + 15x

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

Q: Determine the anti-derivative of Y = 2e3x +5 and use the fact that y(0) = 7 to %3D dx determine c,…

A: We first separate the variables and then integrate  c= integrating constant Formula used:

Q: Find dy/dx by implicit differentiation. ex/y = x - y

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: A particle is traveling upward and to the right along the curve y = ln x. Its x-coordinate is…

A: Given a particle is travelling upward and to the right long the curve y=lnx. It is given that dxdt=x…

Q: Find the derivative of y with respect to 1. y = In V4x2 + 7x %3D 2. y = sec?(e-4*)

A: A detailed solution is given below.

Q: Can you help me with this problem step by step?

A: To determine the derivative of given function.

Q: Why does this work? If we have the curve in the xy-plane: F (x, y) = 0, then why is the implicit…

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Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: Find the derivative of y with respect to x. y = (6x + 5)* dy dx II

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

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Q: Find the derivative of y with respect to x if y = e¯1X. dy dx II

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Q: Get the first order derivative of the function x + sin(y – 2x) - 1= 0 - 2 1 a. y' = cos(y-2x) 1 b.…

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Q: Find dy/dx by implicit differentiation. y3+9xy+4x3-12x=0

A: Here we can find the derivative as below

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x³ + y3 =…

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

A: x=1-t3 differentiating with respective t dxdt=-13 y=8t-1 differentiating with respective t dydt=8

Q: Find  dy/dx by implicit differentiation. x2/x+y = y2 + 4

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Q: B: Use the Chain Rule to find the derivative of f(x,y) xy with respect to (t) along the path y =…

A: Solution:-

Q: Find the derivative of y with respect to s. y = sec 1 (5s° + 2) dy ds

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Q: Find the derivative of y with respect to x. y 3 In dy %3D dx

A: given  y=3 ln(5/x) We have to find  dy/dx.

Q: Find the derivative of y with respect to z. y In (sinh 3z) y -

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Q: dy y = x3 e2. Show that dx 1. Consider. (3x2 + 2x4)eʻ and then find the second dy derivative dz2

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Q: Find dy/dx by implicit differentiation. x7 + y4 = 5

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Q: can you help me step by step with this problem?

A: Please see the white board. Let's differentiate both sides with resepct to x.Recall that:d(cosx)/dx…

Q: Why is it that when implicitly differentiating for dy/dx where sinx+cosy=sinxcosy, only the…

A: We havesinx+cosy=sinxcosy

Q: B: Use the Chain Rule to find the derivative of f(x,y) = xy with respect to (t) along the path y =…

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Q: Find the derivative of y with respect to X Y=cos^-1 ( 3x^7) dy/dx=

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Q: Find the derivative of y with respect to x. 1 y = In x/x+5 dy dx II

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Q: i. y = cosh(2x – 1) %3D 1 j. y = arccosh H| 8

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Q: 9. Find dy/dx using implicit differentiation, °y- xy = 4 |

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Q: Find the derivative of y with respect to s. y3Dsec -1 (7s° + 5) dy ds

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Q: of (xy + 3)5 = 2x – 2y³ + 19. dy Use implicit differentiation to find dx

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Q: Find the derivative of y with respect to x.   Y=lnx /3+2ln x   dy/dx=___________

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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  dy dx by implicit differentiation for the function. x2 + 3x2y2 + y2 = 6

A: Given  x2 + 3x2y2 + y2 = 6 We have to find dydx by implicit differentiation.

Q: Compute the second derivative of e^x+y+y^2+x^3=0. y" denotes, d^2y/dx^2

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Q: 1. Find the derivative of the following functions (dy/dx) at x=0 y= sin 2x – 2sec x 2. Find the…

A: We are given: y=sin 2x - 2 sec x and y = sin4 4x - cos4 4x We need to find their derivatives at…

Q: Can you help me with this problem step by step?

A: To determine the first derivative of the function.

Q: Find the first derivative 1. y = In v4-x2 %3D 2. In(x2 + y2) + 4arctan = 5 y %3D dy x+4 3. Find , if…

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Q: Calculate the increment and differential of the function y=x2−x+1 at the point x=2 when dx=1.

A: Given, the function is y = x2 -x +1 at the point x = 2 and dx = 1, We have to calculate the…