Differentiate the following function ®x f(x) = x' e %3D f (x) =D %3D

Q: Find dy/dx by implicit differentiation   2x3 +x2y  -xy3  = 2

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

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Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: Find dy/dx by implicit differentiation.

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Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

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 dy/dx by implicit differentiation.

A: To find: The derivative of x3y-xy3=4. Concept used: Chain rule of derivative: fgx'=f'gx·fgx Product…

Q: Find the derivative of the function. y = In(t2) – arctan 3 y' =

A: It is derivative.

Q: Find the derivative of f( x ) = 2° log3(z + 2.5) f'(x) =

A: The first derivative of the function is . The product rule of the differentiation is .

Q: Find y" by implicit differentiation Va + Vy= 4

A: To  Determine: find the implicit differentiation Given: we have x+y=4 Explanation: we have x+y=4 so…

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

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Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

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: Find the derivative of the function. y= log sv7x +3 dy dx I3D

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Q: find y' by implicit differentiation. ex/y=3x-2y

A: To find the derivative of the equation using implicit differentiation.

Q: Find dy/dx by implicit differentiation. 9x3 + x2y - xy3 = 1

A: Given that: 9x3+x2y-xy3=1

Q: find dy / dx by implicit differentiation.

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Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: what is the differentiate of f(x)=ln x

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Q: #11, find dy/dx by implicit differentiation

A: Differentiate question 11

Q: Find dy/dx by implicit differentiation   x2 + 5x + 9xy - y2=4

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Q: Find the derivative. y%3 log (6x) y'%3D %3D

A: It is required to find the derivative of: y=log(6x)

Q: What is the derivative of * y = arctan(x2 + 1)?

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Q: Use logarithmic differentiation to get the dy/dx of: y = (20^x) tan^-1 (x^2 - sinh 2) / (cosh^3 x)…

A: Use logarithmic differentiation to get the dy/dx of: y = (20^x) tan^-1 (x^2 - sinh 2) / (cosh^3 x)…

Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

Q: Find one anti derivative of (x+1)^2 and then find  integral(x+1)^2 dx.

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Q: Find dy/dx by implicit differentiation. x3 − 3x2y + 2xy2 = 12

A: Given: x3-3x2y+2xy2=12 for finding dydx we differentiate given expression

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

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: Find dy/dx by implicit differentiation at point (0, 0) if x³y³-y=x

A: Here, x3y3-y=x

Q: Find dy/dx by implicit differentiation. x²y³ -yax dy/dx =

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Q: Find the derivative of the function below. f(x) = (49 + x)V arctan (ラ) f (x) =

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Q: Find dy/dx by implicit differentiation. x4 + yA 5

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Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: Differentiate the following function.   y = ln(ex + 3e-x)

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Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: Find dy/dx by implicit differentiation. x2y3 − 12xy2 = 6

A: To determine the implicit derivative.

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

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Q: Find the derivative of the function. y = In(Icsc(7x)|) y'(x) =

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

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Q: what is the derivative of f(x)=ln(tanhx)

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Q: find dy/dx by implicit differentiation yetan-1 x = 2

A: y·etan-1x=2

Q: What is the derivative of y = arctan(x² +1)?

A: Find the derivative of the function

Q: Find the derivative of the function. f(x) = In(sinh(x)) %3D f '(x) = %3D

A:

Q: Differentiate the function. y=ln(x5sin2x)

A: Given function:

Q: dy Find by implicit differentiation. dx ху — ху" %3 8 -

A: Implicit differentiation: Differentiate both sides of an equation with two variables by considering…

Q: 1. Find the derivative of the function:F(x)= [ (Vt arctan t)dt .

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Q: find implicit derivative dy/dx of x2sin2(y)+2x2=y

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Q: Find the derivative of y with respect to > (x + 6) y = In V (x + 9)60 dy dx (Type an expression.)

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Q: Differentiate the given by implicit differentiation x3 - xy + y3 =1

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Q: y=

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