Find the derivative of the function using the definition of derivative. dy = lim dx Ar-0 Ar Ay 1. y=37 2. y=12+7x 3. y=1-3x

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A: Given:           y=(x2 lnx)5 To find:            dydx

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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 (…

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Q: Find dy for the given values of x and Ax. y = 3x° - 2x; x = - 3; Ax = 0.4 What is the derivative of…

A: Given the functiony=3x3−2x

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A: f(x)  =  cos x4 + a4ddx f(x) = f'(x) =…

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 dy/dx by implicit differenciation.  2x3 - 4xy - 3y2 = 2  find the value of "y"

A: The given equation is 2x^3 - 4xy - 3y^2 = 2

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Q: Find the derivative, dy / dx, at the points where x = 1 on the folium                    (x 2 + y 2)…

A: given,       (x 2 + y 2) 2 = (25/4) x y 2 .

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x + y 12xy -…

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Q: the implicit derivative of     sin(y) − xy^3 = e^(−3x^2)

A: Givensiny−xy3=e−3x2

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: Find the derivative of the function. cos a y = sin x (1+ v³)® dv

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Q: Find the indicated derivative dy/dx 2.)  y=cos(x−y)

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2…

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3x-2 1. Z=. ;d'z/dx? (x-1)2 2. Y= (2 – x³ )5…

A: Given: 1. z=3x-2x-122. y=2-x353. y=2x+125

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Q: Compute the derivatives. Use the fact that e2+x = e2 . ex to find d/dx (ex+2).

A: ddxex+2

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2 1. Z= 1+x? ; d²z/dx? 2. Y = (3x + 2)* ;y"…

A: Given function is: y=3x3+24 We have to calculate d2ydx2 or y''. Now we see,…

Q: Find the derivative of the function. 1 6 y = 4x +8x dy %3D dx

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Q: B) Using the definition of derivative, find dy -if y = dx 1-x

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Q: 4 For the function y = 1 e - dy the second order derivative dx? is

A: Given that a function and find second derivative of this function (d2y/dx2). We know that d(xn)/dx =…

Q: Find the indicated derivative. dy for y = dx 1 – 2x2 x4 – 2x² + 4 %3D

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Q: Find the derivative of y=2ecos.x)(sin(5x)) d'y Calculate as a function of t if x=t-t and y=t-t 2 dx?…

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Q: Find the derivative of the function. 1 y = 4/x +3x dy dx |00 %3D

A: Use formulas of derivatives to find dy/dx

Q: Find the derivative of the function using the definition of derivative. dy Ay lim dx A-0 Ar 1. y=37…

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

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Q: 2x Using the definition of derivative, find Given y = dy %3D x+8 dx

A: dy/dx from definition of derivative is given below

Q: Take the derivative of the following: Dy= 3xe y = e (3) e y = @y= In () 10 Y=ln (In x)

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Q: Vw Find the derivative of y = 3W with respect to w. dy dw

A: To find dy/dw

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Q: Find the derivative of the function. y = a° + cos° z y'(x) =

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Q: Find the indicated derivative using implicit differentiation. dy In(xy) – x In(y) = 2y; dx dy dx

A: Given equation :

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A: Given function is

Q: Find dy for the given values of x and Ax. 3 y =x° - 6x +8; x = 1; Ax = - 0.1 - 6x + 8; x = 1; Ax = -…

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Q: Find the derivative of the function. - c() (수 1 - e9x 1 + e9x y = cos y' = 18e9z sin + e&= )…

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Q: 2. : Consider the function ry + cos y + x 2+ xy. (a) Find the derivative, dy/dx. (b) Find the…

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Q: Find the derivative of y with respect to x of y = 9ln du If y = c In u, identify u from the given…

A: To find : The derivative of the given function .

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Q: Find dy/dx, using implicit differentiation. y In(x) + y = 6 dy dx Compare your answer with the…

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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=lnx /3+2ln x   dy/dx=___________

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Q: dy Find the function y whose derivative - is 8.x+ 10 and y has a value of -2 when x is 1 dx y =

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Q: Find the derivative of y with respect to x. y = sin -1(et) OA. 5e 5t /1- e 10t O B. - 5 e 5t /1- e…

A: We have to find