Find the following derivative In (x) dx In (x) +2 d In (x) dx In (x) +2 d 이종

Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

Q: Find the second derivative for the functions defined as follows g(x) = 4x(ln x)

A: We have to find second derivative of the function: gx=4x lnx Since two function are in product so we…

Q: Find the 7th derivative of: f(x)=sin(x)cos(x) f’=? • • •

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

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Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

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Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

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Q: HiHtar is THe secoyd derivative OF Y

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Q: Compute the derivative of f(x) = 7 ln (x + 10) + In (x³ ): Answer: f'(x) =

A: Given function is  f(x)= 7ln(x+10) + ln(x3), we have to find the derivative of f(x) with respect to…

Q: What is the derivative of x sin(x) at the point (6,5)? 2 O 1 O-1 O None of the above

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Q: Use forward-difference formula to evaluate the first derivative of y = sin(x) at x = O 2√2 π -2√2 ㅠ…

A: Given that y=sinx. We have to find the first derivative of y=sinx at x=π2 using a value of h=π4 by…

Q: Compute the higher derivative.

A: Given, d3dx3sin 2x

Q: Compute the second derivative with respect to x of 3x3 + 8 y = at x = 1.

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y= In(In 9x)

A: The solution for the above question is as shown below.

Q: Find the derivative of z=(ln5)e^x dz/dx=

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Q: Find the derivative of n^(ln⁡(cosu)). Where n=822

A: Given information : nlncosu Here, n=822. we have to find the derivative of given function.

Q: 3x g(x)=e* In(4x+1) (с)

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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: Find the indic ed derivative. dz x2 for z = x2 dx 1 - x - 2x2 dz dx

A: Formulas:

Q: dx V9-x2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: · f(x) = sin(In r²) %3D

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Q: What is the derivative of y = e3 In(5 + e3)? %3D

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Q: 4. Compute the second derivative with respect to x of 3x³ + 8 y : at x = 1.

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Q: Which of the following has a derivative of f (x) = 2x (arctanx + arccotx)?

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Q: What is the derivative of: y = ln ln(1 − cos x)

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Q: Give the derivative of f(x) arctan an(e³*) at the point where x = 0.

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

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Q: Find the derivative of f(x) = e" – a3 +In(x) - In(x)

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Q: Compute the second derivative of sin(g(x)) at x = 2, assuming that g(2) = 4, 8'(2) = 5, and g"(2) =…

A: Given: The function singx with g2=π4, g'2=5, and g''2=3, To find: The second derivative of given…

Q: Ay Find the derivative of the following using lim Ax-0 Ar %3D dx ala

A: Part (a) - y = 4x2-5x       ...........(1)Given that,dydx = limx→0 ∆y∆x We can write it as - dydx =…

Q: Find the derivative of the function y, below. 9x(ln x + In 2) – 8x + v2 %3D

A: first, simplify the function  y=9xlnx+ln2-8x+2 y=9xlnx·2-8x+2 y=9xln2x-8x+2

Q: 3/ By using the definition of derivative, proof that tan x = sec? x. %3D dx

A: By definition of derivative , f'(x) = d(f(x)dx= limh→0f(x+h) - f(x)h L Hosital's Rule :When limit is…

Q: Y= In (In2 (1-x))re?

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Q: The derivative of xª at x = e is equal to .Soloot ono

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Q: Use backward, forward, and centered difference approximation to estimate the second derivative of…

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Q: Find the derivative. 8 + e y = In 8 + et 8 - ex.

A: Given,          y=ln8+ex8-ex

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y= θ(sin (ln θ) + cos (ln θ))

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Q: Find the derivative of y(x) = In (7(In(x))* ). %3D (Use symbolic notation and fractions where…

A: Topic = Derivative

Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: what is the derivative of hcx) at x =D0 where h lx) =2f(6)-2-VFIR) where %3D

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Q: 4x dx

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Q: Use forward-difference formula to evaluate the first derivative of y = sin(x) at x = using a value…

A: Given function is y=sinx. We have to evaluate the first derivative of y=sinx at x=π2 using a value…

Q: Compute the second derivative with respect to r of 3x + 8 y = at x = 1.

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (ln x)

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Q: Find the first derivative: In 2x f (x) 1- In 2x f(x) = In (sec x) f(x) = cos (In x) f(x) = In[cos…

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: Find the derivative of y with respect to x. 58)y tan (In 2x)

A: Firstly, we use the result that  derivative of inverse of tan of x is 1/1+x^2

Q: Compute the derivative d tan x dx \cos x – 4)

A: To compute :

Q: Show that the derivative of f(x) =xln(x)−x is ln(x). Use this to compute∫ln(x)dx.

A: Sum/difference rule of differentiation,

Q: Find the derivative of nin (cosu). Where n=540

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Q: Compute the derivative d tan x dx \cos x – 4

A: Given: Formula Used: