finf dy/dx by implicit differentiation when x^2=(3x+6y)/(3x-6y).

Q: 11. y=3x+ ln x %3D

A: Topic - derivatives

Q: dy Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y³. dx

A: Given that: 3x2 +2xy = -4y3. Find dy/dx. We know that derivative of xn is nxn-1.   Here i attached…

Q: Explain the method of proving the derivative (dy/dx) of sinh(x) and cosh(x) ?

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Q: Find the derivative of the function. 1-X y arctan, 1+x y'= I3D

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Q: Find the derivative. Simplify where possible. hx) = (1 - cosh x) /( 1 + cosh x)

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Q: Find the derivative. Simplify where possible. y  = Cosh-1 √x

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Q: y = 2 ||

A: We have to find the derivative of the function y = 1-x2ex2

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

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Q: ) y = In³ )) (tanh²(scc '(x²)

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Q: Compute the derivative. (x) = ex sinx

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

Q: Find the derivative. Simplify where possible  y = cosh (ln x)

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Q: What is the first derivative of f(x) = ln 3z²+7z ?

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Q: The derivative of function y = tanh¬1 (sec(3x²))

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Q: Find the anti-derivative: x2/3 dx. Upload Choose a File

A: Using simple integration method to solve the question.    Attached below is the detailed solution.

Q: derivative of y = arctan(x2+ 3)

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Q: y=9 arctan (x+sqrt(1+x^2) )

A: ddx(xn)=nxn-1 ddxx =12x ddxtan-1(x)=1x2+1 Chain Rule: if f=f(u) where u is a function of x then…

Q: 2. Use logarithmic differentiation to find first derivative of y (sinx)r

A: Formula used: ddx[u(x)v(x)]= u(x)v(x).ddx[ln(u(x)).v(x)] ddx(u.v) =dudx.v + udvdx

Q: 2. Use logarithmic differentiation to find first derivative of y = (sinx)*

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Q: Determine the first derivative of the ff. function y = 2 + arctan(3 sec 2x)

A: We have to find the first derivative of the function: y=2+tan-13 sec 2x We know the formula of…

Q: What are the formulas for differentiation and intergration? When to use them?

A: Query- What are the formulas for differentiation and intergration and describe When to use them?…

Q: calculate the derivative y = tanh(ex )

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Q: Find the derivative of the function f(x) = arctan ex

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the…

Q: q? sin-! メ

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Q: Find the derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =

A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v

Q: Find the derivative of fcx) = en (sinh Cx)) 5

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Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) %3D f (x) =

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Q: Find y''by implicit differentiation. 2x3 + 5y3 = 2

A: We can find y" using implicit differentiation as below.

Q: FInd the derivative of f(x) =ln 1+ex/1-ex

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Q: Integrate xtanx with respect to x

A: We have to solve this integral by  Integration by parts rule, Formula is  ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: Find the derivative of y = etan x %3D

A: Giveny=etanxTo findderivative of y.

Q: The first derivative of the function y = 3x cannot be solved using implicit differentiation. Select…

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Q: Find the derivative. Simplify where possible. y = x tanh-lx + In /1 – x²

A: We have to find

Q: Find the first derivative in the form of dy/dx  y=(3x-2) sq rt(3x-2) please show all your work so…

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Q: Calculate the derivative. y = ecoth (22x) (Use symbolic notation and fractions where needed.) dy dx

A: using chain rule

Q: y = Vx* X

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Q: Find the derivative of the function y = x tanh−1 x + ln√(1 − x2)

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Q: ex + siny = cos(x³y²) %3D

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Q: water leaking onto a floor creates a circular pool with an area that increases at the rate of 3…

A: Let  A=π r2 differentiating A with respect to time tdAdt=2πr…

Q: Find the derivative of the function f(x) = (3+arctanx)^(ln(x^2 +1))

A: Apply exponent rule:

Q: What is the first derivative of f(æ)= ln(3z²+7z )? 5z

A: Given  f(x)=ln3x2+7x5x We know that derivative of ln(x)=1/x…

Q: 3rd derivative of y sin 3x

A: Here we have to find the 3rd derivative of           y = -1/sin(3x)

Q: Find the derivative. y(x) = x tanh−1(x) + ln (sqrt (1-x^2))

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Q: Find the values of x in the interval [0,2π] where the tangent line to the graph of y= sinxcosx is…

A: Given:y=sinxcosx,     [0,2π]

Q: What is the derivative of: 4 ln(sec y + tan y) − 2x − sin 2x = 1

A: Given: 4 lnsec y+tan y-2x-sin 2x=1 To Find: dydx=?

Q: What is the 2nd derivative of y=cosh(x+y)?

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Q: Use implicit differentiation by partial derivative to solve for dx of function 3x2 + 2xy = -4y3. %3D

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Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

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