Find the derivative of y. 30) y- In (sinh 9x) 1. B) sinh 9x A) coth 9x C) 9 csch 9x D) 9 coth 9x

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

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Q: In Exercises 25–27, find the derivative of y with respect to the appro-priate variable. 25. y =…

A: Hey since there are multiple questions the first question is answered and repost the question if any…

Q: calculate the required derivative using the chain rule. -1 Z=tan tan () » yorsinə u =Y Cose %3D az.?…

A: We use chain rule and quotient rule

Q: Find the derivative of O2 sec 2x O 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

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Q: Find the derivative of y with respect to the independent variable. y = 9cos zO O A. - 19cos AO In 9…

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Q: Prove the formula for the derivative of a) (Inverse of cotangent) b) (Hyperbolic cosecant) y = csch…

A: formula for derivative of both function is following:-

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = In(cos(In 0)) %3D

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Q: Find the derivative of f(2) = sinh(2²) – 2z cos(32). Is this an analytic functio %3D

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Q: Determine the derivative of p(z) = z* + 4° + 4 cos(z)-sin( )

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Q: Determine the derivative of the following functions. 1. у 3 (8ӕ — 1) sinh(8a — 1) 2. y = (5)…

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Q: Find the fourth derivative of f (z) = 37 + In(z) – 164z. Enclose arguments of functions in…

A: To Determine: find the fourth derivative of the function .  Given: we have a function…

Q: The nth derivative of y = Inx is given by %3D

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Q: Find the derivative of the following functions: 5. y = tanh 2x +coth 3x ans. y' = sech²2x – 2csch²3x…

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Q: Find the derivative of O 2sec 2x 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

A: I have stated the used formulas in the solution

Q: The derivative of y= sech-(Inx)+e sinh- (3x) equals Select one: +3esinh (3x) cosh(3x) y' = xlnxv…

A: The derivative of y=sech-1(lnx)+esinh-1(3x) is to be calculated by chain rule. The derivative of…

Q: Show that the derivative of y- arccos (x) is ay- dx sing implicit differentahon an appropriakly…

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

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Q: In(5æ) Find the derivative with respect to x of y = %3D 5x y' = | %3D

A: Find the derivative

Q: what is the derivative of arctan(u/1+4u)

A: To determine the first order derivative of the provided function.

Q: Find the derivative of y with respect to x. y = tan 1 (In 4x) 1+ (In 4x)2 xV1+ (In 4x)² x(1 + (In…

A: We will find the derivative of y with respect to x as following.

Q: Construct a cubic spline that interpolates sin x at nodes 0, T/2, T, 37/2, 27 (use the true…

A: The given function is fx=sinx and the given node points are x=0,π2,π,3π2,2π. Therefore the given…

Q: The derivative of: y =0( sin (In (0))) in (In (0))) + cos(ln (0)) is is:

A: Given function is rewriting in other variables as: y=x(sin(ln(x)))+cos(ln(x)) Product rule of…

Q: Compute the derivative of h(sinx) at x = π,/6 , assuming that h' (0.5) = 10.

A: We have to compute the derivative of function hsin x at x=π6, assuming that h'0.5=10. We know the…

Q: 5. Use Implicit differentiation to find dy when y V x2 tya = 15x° +4siny 3

A: Using implicit differentiation find dydx for;  yx2+y2=15x3+4siny

Q: What is the derivative of h(x, y) = e"Y at (2, 3) in the direction at an angle of 7 from the…

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Q: (6) Find the derivative where it exists (c) Where is flz) analytic ?

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Q: What is the derivative of y = tan-1(x2 + 1)? dy dr 2 1+( z²+1)² dy dr /1+(z²+1)² dy O dr V1+(2+1 )°…

A: To find derivative of y=tan-1x2+1

Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function

Q: 3. Verify the statement by showing that the derivative of the right side is equal to the integrand…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: What is the second derivative of y + Incosx = 0 * O (cos x) ^2 O 1 O (sec x)^2 tan x

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Q: What is the correct expression of the directional derivative for o = xy ln x + sec c-'[sinh(xy)]?

A: The function is φ=xyln x+sec-1sinhxy. The directional derivative is defined as…

Q: Which is the derivative of y= sin (x2-2x + 1)? О 2х-2) (2x-2)Cos(x²-2x + 1) O Option 2

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Q: is The third derivative of y = cos 3 1 sin 27 1 a) y" b) y" =- cos %3D %3D | - 3 27 3

A: The given differential equation is : y=cosx3   -1

Q: Find the derivative dy/dx of y = cos 3x O 3 sinx О З cosx O 3 sin 3x О З сos 3x none of the above

A: We can do this by doing derivative both side.

Q: Find the derivative of y = Arccot (tan(esecx)) in its simplest form %3D A. y' = e Sec*secxtanx B. y'…

A: This question is related to differentiation, we will solve it using given information.

Q: Find the fourth derivative of f (z) = 3* + In (z) – 191z. Enclose arguments of functions in…

A: To find :  Fourth derivative of function ,  f(x)=3x+lnx-191x

Q: Find the derivative. 3t cos (t) dt %3D O 3x cos (x4) O &va cos (x4) O 3 cos (x4) - 3x sin (x4) O cos…

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Q: ind the derivative of y with respect to x. y =-cos-16x + 7° 6 6. 1 + (6x + 7)2 81 - (6x + 7)2 O 4.…

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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: calculate the required derivative using the chain rule. z.ton"() -1 - tan u =Y Cose » yarsin@ az -?…

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Q: The derivative of y = cos²x is %3D

A: Given -                  y= cos2 x . We have to find the derivative of y.

Q: Y3D7

A: One of the method to solve this Question by using logarithmic differentiation

Q: b. Find the derivative of y = Scos (x) sin(3–2x) + tan2(3x² – 4x) – csc(V2x – 1 Jand express your…

A: To find the derivative of below equation

Q: 3. Verify the statement by showing that the derivative of the right side is equal to the integrand…

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Q: What is the derivative of y = (sin (3x?)2? dy dr 12z sin' (3교2) VI-974 dy dr 12z sin (3z²) VI-9z4 dy…

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Q: Compute the derivative of h(sin(x)) at æ = 1/6, assuming h'(0.5) 4: %3D

A: As we know that; The Chain Rule: fgx'=f'gx·g'x Let, hfx=hsinx

Q: The derivative of y=eev* +cosh x equals Select one: O y' =eev +sinh 2/x 「Oy=SeV全 + sinhx 2/x ev…

A: Given: y=eex+coshx To calculate: Derivative of y