If f(x) = 7x? arctan(8), find f'(x).

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

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Q: Find dy/dx by implicit differentiation.

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Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function                   y=ez sin x + ln x (arcsin z)  With…

Q: Find the first derivative of the given functions: 1.)  x=(Arcsinh(1-b))2   2.) y=e-xcosh ln(x)

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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 dy/dx by implicit differentiation. tan-1(4x2y)= x + 2xy2

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Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: Given that y=cos6θ+15 Find dydθ Needed formulae: xn'=nxn-1 cos x'=-sin x ax'=a

Q: Find the indicated derivative. If y = x9 - x/2, find fy. dx2 dey = dx?

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Q: What is the derivative of: y = arcsin(cos x2)

A: Our Aim is to calculate the derivative of y=sin-1cos x2-(i)

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: sin x (cos x+1) dx 7. S (cosx +1)2

A: Given that: ∫sinx(cosx+1)(cosx+1)2dx           NOTE: As per our answering guidelines, we can only…

Q: Find the derivative, if y = (log x)" +(sin x)™* -x %3D

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

A: Differentiate question 11

Q: Solve for the derivative Arc sin + Arc cos =0 y y

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Q: Find the derivative of the function. sin(x) y = In(1 + 6v) dv cos(x)

A: Find the derivative of the following function

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

A: Given,

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

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Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

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

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Q: what is the derivative of this question with solution y= csc (4x² ) Arccsc (4x² )

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Q: find the second derivative and simplify the final result 7. y= Arccos(e^2x)

A: To find     d2arccos(e2x)dx2

Q: sinh(3x) g(x) 3

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Q: Find the derivative of y = arccos 4x with respect to x.

A: Given that: y=arccos4x

Q: Find the first And 2nd derivative  F(x)= e^x sin4x

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Q: Find the derivative. y = 7x ln(6x) dy dx

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Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Find dy/dx by implicit differentiation. 2x? - 5y2 = dy/dx

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Q: D/Dx (cosx)^x  slope of tangent function (cosx)^x at x=π/4

A: Given:- y = (cos(x))x To find:- Slope of tangent at x=π/4

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

A: y·etan-1x=2

Q: Find the equation of the tangent line to the graph of f(x) = 4^(x/ln2) at the point where x is ln16.

A: We find dy/dx to find the slope at x.

Q: Find the derivative of the function. y = xV 25- x2 + 25 arcsin 2

A: Follow next step

Q: Va2-x² Y=Arc sin + a

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Q: - In y = e' sin x

A: We have to find dy/dx of the above equation.

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: Find the equation of the tangent line to the curve y = ln(4 ln x) at the point where x = e. %3D

A: It can be solved using differentiation.

Q: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is

Q: Find the second derivative, y" for the function cos(y) + sin(x) =1 by implicit differentiation. %3D

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Q: Find dy/dx by implicit differentiation. 3x +у - 2 + х?у? У 3

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Q: 9 y = Arctan(+x, 1- 2x

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Q: dx 2 x--1

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Q: 4x dx

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Q: Find dx * by implicit differentiation. r+y+ 4

A: x+y+xy=4d(x+y)dx+d(xy)dx=d(4)dx

Q: What is the derivative OF a Arcsin X y= 3

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 3x-4 1. Y= Arctan

A: To find second derivative of the given function.

Q: Find the derivative y=ln(t2)-arctan(t/4) y'=?

A: Given, y=ln(t2)-arctan(t/4) y'=?

Q: FIND THE DERIVATIVE : xʻ sin x Y = ln 1+x

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Q: 2. Calculate the derivative of y = arccos(e arcsin(x2)

A: Let u=arcacos(e^x) and v=arcsin(x^2), then y=u/v

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…