In Exercises priate variable. 21. y = cos (r) 23. y = sin-'V21 25. y = sec (2s + 1) find the derivative of y with respect to the appro- 22. y = cos (1/x) 24. y = sin(1 -1) 26. y = sec5s

Q: 4. Find using derivative rules. dx sinx x8+x x2 tanx (a) y = (b) y= (c) y = cos³(3x² + 9) cos(5 x*)…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: y=8sin(x)cos(x) ; x=pi/3

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Q: find the derivative of y with respect to the appropriate variable.17. y = ln (sinh z) 18. y = ln…

A: The given function is y=lnsinhz

Q: 3 y (sinhx) + sinhx 3 4. step1 step2

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Q: %3D %3D y = In ( sinh 2z) Find the derivative of y with respect to z.

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Q: Find the derivative of the function. y = esin(5x) + sin(e5x) y' =

A: The solution are next step

Q: 7) Find dx 4e* dy if y = %3D 8) Find the first derivative of f (x) = sin? (x°).

A: We need to find out : 7)  dydx if y=4exx 8) First derivative of f(x)=sin2(x3)

Q: Find the derivative of y with respect to the appropriate variable 57. y = sec-, 0 < : < 1 3 58. y =…

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Q: 13. Find the derivative at x = a for f(x)= /sin(4x) 2 Vsin(4a) cos (4a) Jsin(4a) 2 sin(4a) Vsin(4a)…

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Q: find the derivative of y with respect to the appropriate variable 19. y = (sech u)(1 - ln sech u)…

A: Hello! Thank you for your question. We’ll answer the first question since the exact one wasn’t…

Q: 14) The derivative of y = cscx sin x is y = 0 A) True B) False

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Q: ve of √sin(x)=y

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Q: What is the derivative of cosh-1(xy) + elog x = sec3(y2)

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Q: 1. Find the derivative of the curve given by the equation: 2(x - y) = 3+ siny

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: calculate the derivative y = tanh(ex )

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Q: Determine the first derivative of the ff. function a. y = 400(2)**3 sin 3x b. y = Vxe2* cos x…

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Q: find the first order derivative of y=sin 0.5√x/x at x=8, h=0.2 a. Forward difference B. Backward…

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Q: Find the derivative. y = sinh 1(tan x) O y = |cos x| O y = 1 /1+tan x O y = 1 Vtan? x-1 O y = |sec…

A: In this we have to find integration and derivative.

Q: Find the derivative of y = 4) G* eln sin-) y = G (In-x) sin + V4 – x2. x sin¬1 In sin + (Tx-1 1 y' =…

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Q: Find the derivative of y with respect to x. -1 2х + 3 26) y = sec" 27) y = -sin-1 (5x2 + 2) 28) y =…

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Q: the derivative of y with respect to v. 1 = In ( cosh (5v)) –· tanh 2(5v) 2 derivative of y with…

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Q: Find the second derivative of y = (4 – 2x)2 + 2sinx. dy Directly type your answer WITHOUT y' or dx…

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Q: In Exercises 25–36, find the derivative of y with respect to the appro- priate variable. 25. y =…

A: Hello thank you for the question. We’ll answer the first question since the exact one wasn’t…

Q: (5) Find the derivative dy/dx, where: 4 1 -1 y=- y = cosec(cot3x), y=Vsinh¯3x 3 1+ cos° x

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: find the derivative of y with respect to the appropriate variable.27. y = (1 - u)tanh-1 u 28. y =…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 23.3 Use centered difference approximations to estimate the first and second derivatives of y = e*…

A: The formula for the first derivative of a function fx at x=a by centered difference approximation is…

Q: what is derivative of y' ? note: y is funcion of x, like u(x) 00 0 1 O noe of the above

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Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: What is the first derivative of y=tanh(0³+30)? A y'=3(0²+1)sech (0²+30) dy =3(0²+ 1)sech²(0²+ 30) B…

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Q: Find the y'" if y = x lnx 07/1/201 O-+ 01/1 0 - 1/2 Find the first derivative of y = tan? x cosh’ x…

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Q: Find the derivative of y with respect to the appropriate variable → 49. y = cos '(x²) sin-'V2! 50. y…

A: Solve the following marked questions

Q: find the derivative of y with respect to the appropriatevariable. y = (θ2 + 2θ) tanh-1 (θ + 1)

A: The given function is y=θ2+2θ tanh-1θ+1. Obtain the derivative as follows.

Q: Find the derivative of y with respect to x. y 3 In dy %3D dx

A: given  y=3 ln(5/x) We have to find  dy/dx.

Q: find derivative  1. y = ln (3ue^-u)    2. y = ln (2e-^t sin t)  3. y = e^sin t (ln t2 + 1)

A: find derivative

Q: find derivative    1.y = ln (cos^2 u)     2. y = ln (3te-t)    3. y = e^(cos t + ln t)

A: Differentiating y=ln(cos2u) with respect to u using the chain rule.Consider t = cos2u then y =…

Q: B) Find the derivative of the foiiowing: 1) y = 2sin2(5x) ,2) y = x, 3) xsin-14y = y tan-14x 4) y =…

A: As per the company  guidelines we have to solv first 3 subparts if suborats are not mentioned  So…

Q: (2) Find the derivative of the following: y = xsinx + x² y = (x² + 1)** + sin(x*)+ x* 2. 3. Iny = e'…

A: Since you have asked a question with multiple subparts, we will solve the first three subparts for…

Q: 2- Find the derivative of y with respect to the Exercises 1-3. y 1- 6 sinh || 1 y sinh (2x + 1) 2-…

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Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

A: Let fx=1+e-xsin 4x

Q: Find the derivative of y: 1- y = (cos 0)▼2

A: See the details solution in below

Q: How do I find the derivative of this problem?

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Q: 2- Find the derivative of y with respect to the Exercises 1-3. = 6 sinh 1- 1 sinh (2x + 1) 2- In…

A: These are the hyperbolic function so use standard form of derivative of hyperbolic functions.

Q: Find the derivative of y= e^x * sin(x) y= 5x^2 + cos(x) y= sec(x) + csc(x) y=…

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Q: Q Find the derivative us ing the de fini tion 2. O fcx) Fcx) x+2X %3D

A: Derivative of the function using definition

Q: The derivative of y = In(sin(ex + 1)) is O y' = -ex cot(ex + 1) the above y' = -ex tan(ex + 1)

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Q: Y = 2 Arccos ( 1 -) + v4x – x²

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Q: derivative of y = e(sin⁡x) − sin⁡(ex)8

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Q: V=ln( cosn 92) %3D

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Q: Explain of the method of proving the derivative (dy/dx) of y= U(x)"(») where U(x)and V(x) are…

A: The function is, y=U(x)V(x)

Q: Example2: Find the derivative of w=xy+z if x=cos t ,y=sin t &z=2t?

A: