27. Differentiate the function. y = √x² + 2x y' =

Q: Find d2y/dx2 by implicit differentiation x3 + y3 = 1

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Q: Find the 4th-order derivative of the function y=xsinhx.

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Q: Find the first derivative of the function y = 2ArcsinV(x/2) %3D

A: Consider the given function, y=2Arcsinx2 It also can be written as, y=2Arcsinx2=2sin-1x2

Q: Find the 1st derivative: Complete Solution.  y=2cos2 t/2

A: y=2cos2 t/2

Q: Find the derivative of the function y = 2x sinh−1(2x) − √(1 + 4x2)

A:

Q: find nth derivative of y=x/(x+1)^4

A: To find the nth derivative of the function y=x(x+1)4=x+1-1(x+1)4=1(x+1)3-1(x+1)4

Q: Find y" by implicit differentiation. x² + 4y² = 4

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Q: 4) fip by implicit differentiation, where Find dr y + x?y³ = x* + y.

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Q: Find the derivative using the long method y = vx + 2

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Q: Find the 3rd derivative of the function y=xsinx

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Q: 4 and y(4) 10, find y'(4) by implicit differentiation. If 2x + 3x + ry

A: We can perform the implicit differentiation to find the answer as below.

Q: Find  y''  by implicit differentiation. 4x2 + y2 = 4

A: Given,  4x2+y2=y,we have to find y''Differentiate with respect to x,we get…

Q: Find y" by implicit differentiation. 3x3 + 4y3 = 2

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Q: ; Compute the derivative of the function: f (x) = (+ Inx)² а.

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Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

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Q: Find the derivative of the function y = x tanh−1(2x)

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Q: 12) Find the first derivative of f(x) = 3x %3D

A: Use rules of derivative

Q: Find the derivative of the function y =2cosx – 3sin x +1

A: Given, y=2cosx-3sinx+1

Q: 4 1 Y(s) = 5s2

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Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: If 3x2 + 3x + xy = 2 and y(2) 8, find y' (2) by implicit differentiation. %3D 1

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Q: 13. Find the second derivative y “ of y = 5z2 +sinrcosz

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Q: Find by implicit differentiation for x2+y2=25 at point P(0,5).

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Q: 8. Find the derivative of the function. y= In(1+x)

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Q: Find the derivative of the function y=2√x−3sinx.

A: Given: fx=2x-3sinx for finding derivative of given function we use property given below…

Q: Calculate the 4th derivative of the function y=x2/x−1 at x=2.

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Q: y = e* (In x)² %3D

A: Here we want to find the first derivative of the given function. For finding the derivative we use…

Q: Find the derivative. y = ecosh(8x) y'(x) =

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Q: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: Solve for the derivative of y = x(e*) %3D

A: Find your answer below

Q: Find y" by implicit differentiation. 2 + 6y = 6 y"

A: Here is the solution

Q: Find the derivative of the function.

A: The given function is y=x2-sin2x4

Q: 7. Find the nth derivative of y = 1//x.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: y = e* - cos 3x + xlog.(1+x)

A: By using some formula of derivative

Q: Find y" by implicit differentiation. 4x3 + 5y3 = 6 У" :

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Q: Find the derivativeof the following function:

A: To determine derivative of the function.

Q: If Va + Vy = 6 and y(16) = 4, find y'(16) by implicit differentiation.

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Q: Q4/B By using implicit differentiation find dyidx for y 3x*+ cos.ry

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: To find the third derivative of  y=(4x+3)34⇒y=(4x+3)34 The general rule of differentiation is…

Q: n. y= (x+Inx)

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Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: 1. Find the first order derivative of u = x*.

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Q: Find the derivative of the function. 9 y =- Vx + 1

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Q: 19. Determine the derivative of f(x) = e* coshx. O a. e2x O b. ex O c. e4x O d. e5x

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Q: b) y = cosh(2Vx+1)

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Q: Find y'' by implicit differentiation. x2 + 4y2 = 4 y'' =

A: The detailed solution is as follows below:

Q: 5. Find by implicit differentiation for x + y = xy. dx

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Q: Find the 1st derivative of the function: y = 4(Vx + 1)5

A: Given that: y=4(x+1)5

Q: If 3x + 2x + xy = 4 and y(4) = – 13, find y'(4) by implicit differentiation. %3D

A: