Find f' (x) for f (x) = 8x-3e. %3D

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

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

A: Topic - derivatives

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: 3 dx|

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Q: find the derivative using logarithm of y= (x+2)^2

A: Take ln on both sides Then differentiate both sides with respect to x

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 the derivative.

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Q: Find the derivative of x/ex^2.

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Q: Find the derivative gx) = 4 K) = cost dt

A: Problem is solved using Leibniz rule

Q: Find  dy dx by implicit differentiation. tan−1(4x2y) = x + 5xy2

A: tan−1(4x2y) = x + 5xy2 We differentiate both sides with respect to x using the product rule and…

Q: Find the indicated derivative. for y = dx 1 - 2x2 x* - 2x2 + 3 dy dx II

A: on doing differentiation we get

Q: Find dy/dx by implicit differentiation X2 + 4xy - y3 =6

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Q: 2x2+x dx x+1

A: Integration ∫2x2+xx+1dx

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

A: Given that: 9x3+x2y-xy3=1

Q: 4 1 Y(s) = 5s2

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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: Integrate sec√x dx ÷ √x

A: We have to Integrate : ∫secxxdx Let x=t⇒12xdx=dt⇒dx=2xdt=2t dt Now, ∫secxxdx=∫sec tt(2t dt)=∫2 sec t…

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

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

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

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Q: 7 dy if Use implicit differentiation to find 8. dx dy dx +

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

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Q: Calculate the derivative.

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Q: Compute the derivative: x4 – 4 d - at x = 2 dx x2 – 5 - The derivative is:

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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. y = 7x ln(6x) dy dx

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Q: Find dy/dx by implicit differentiation. x3 + 7x + 3xy - y5 = 25

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Q: Find dy/dx by implicit differentiation of 6x3+x2y-xy3=4

A: Product rule of differentiation:If f(x) is a function of u and v where both u and v are variables…

Q: Find the derivative of the function. y = ex ln x

A: Consider the following equation: y=exlnx Differentiate y with respect to x: dydx=ddxexlnx Apply the…

Q: Find the derivative 3x (x4+ 1)5 dx d 3x (x4 + 1)5]- dx

A: To find the derivative of [3x·(x4 + 1)5]

Q: solve the first and second derivative of Y= (1+lnx)  /  x

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Find the given derivative. DX 5x -- Dx 5x 1/3 1/3

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Q: Determine the derivative -d/dv y = 2x³ + 5x - 6 y 1 x² 3x 6x³ + x² − 10x − 3 -

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Q: Find the derivative of the function. y = -5e- - 4x2 dy dx

A: Solve for the derivative

Q: Find the 2nd derivative of the given function fCt) = t² Int

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Q: Find dy/dx by implicit differentiation. 3+10xv+4x-5x=0

A: Given

Q: find the first derivative in the form of dy/dx y=(3x-ln(x))^5

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Q: The derivative of y=eSinh/x +cosh¬/x equals

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Q: 4x dx

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Q: 4. y=ln(4x' +5)

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

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Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: What is the derivative of the function  x^8(ln(x))?

A: To find the derivative of the function x8(ln(x)) as follows.Redefine the function as follows.

Q: Find the derivative. f(x) = eX cosh(x) f'(x) =

A: First use relationship between hyperbolic function and exponential function convert coshx in…

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

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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: Find the derivative.  y = ln((x + 1)(2x + 9))

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