Find the derivative of the given function: 1. y = --cot3(2x) + cot(2x) + 2x 3 secx 2. у %3D 1+tanx 3. Find y(4) if y = sin(5x) %3D

Q: Find the derivative of the function. y = cos( V sin(tan(3x)) y' =

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Q: Find y'(x) from y(z) using the definition of a derivative.

A: according to the problem, we have

Q: Calculate the derivative of the following functions.

A: Given function is y=cos47x3. To find the derivative of the given function. Solution: Power rule of…

Q: Find the derivatives of the function defined as follows.

A: The function is:        y=lntan2x Find the derivative of the function.

Q: Calculate the derivative of the following functions. y = cos 5t

A: Given ,          y=cos 5t

Q: Find the derivative of y with respect to x. y = tan 9x-1- csc3x, x > %3D dy dx

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Q: Find the derivative of y with respect to x if y = (7x - 14x+ 14) eX. %3D dx

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Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

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Q: Find the derivative of y with respect to X, t, or 0, as appropriate. Inx y=5

A: Given: y=ln xx5 So, the derivative of y with respect to x is: dydx=ddxln xx5 According to the…

Q: Find the 30th derivative of y = cos(2x). f(30)(x) =

A: Take the derivative multi times and observe the pattern then write the required answer.

Q: Find the derivative of y with respect to 1. y = In V4x2 + 7x %3D 2. y = sec?(e-4*)

A: A detailed solution is given below.

Q: Calculate the derivative of y with respect to x, if x/2 +y 3/2 = 7. dy dx

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Q: Find the derivatives of the function defined as follows.

A: Given: y=ln|sinx2| To find dydx

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: Calculate the derivative of the following function. y= cos (6 sin x) dy %3D dx

A: Given that        The function is y= cos(6 sin x) Here we have to find dy/dx .

Q: Find the derivative of y with respect to t. y= sin(6t)

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Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: Find the derivative of the function y%39 tan(3x). dy %3D dx

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Q: Find the second derivative, for y = tan () dy2

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Q: Find the derivatives of the function defined as follows.

A: Consider the given function y=cos xcos 4x   Apply the chain rule: ddxy=ddxcos xcos 4xy'=12cos xcos…

Q: Find the derivative of the given function. y = x² sin 'x+x cos 4x

A: For     y=fx gx    dydx=fx ddxgx+gxddxfx   This is the multiplication rule of derivative .

Q: Find the derivative of the function. 1 6 y = 4x +8x dy %3D dx

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Q: sin 0 cos 0 1+ 2 In e y = In

A: Consider the function:y=lnsin θ cos θ1+2 ln θ   =lnsin 2θ21+2 ln θ…

Q: Find the derivative. cos ft dt y = x10

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Q: Find the derivative of y = cos 12 with respect to x. |

A: Given : y = cos-112x

Q: Find the derivative of the given function. 402 y%3D cos

A: Given,          The function is y=cose-4θ2.

Q: Find the derivative of y with respect to x. y = 6x° sin -1 (6x) + /1- 36x° dy dx II

A: Given function is By using product rule of differentiation, we get

Q: Find the derivative of the (e) h(x) = e5 sin (Væ) + a° sec ()-

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the derivative of the function sin(x) In(6+4v) dv cos(x) y y'(x)=

A: The given function is,

Q: Find the derivative of the function. "sin(x) In(7 + 9v) dv /cos(x) y'(x) =

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Q: The sign x (t) is even symmetric and the sign y (t) is equal to the derivative of x (t). Show that…

A: even symmetric means it satisfies x(t)= x(-t) while odd symmetric means it satisfies x(-t)= -x(t)

Q: Determine the derivative of the following functions. 1. y = 9x cos(2x + 3) 2. y = cos(x + y)

A: According to the question, we need to calculate the derivative of the given function.    Function 1:…

Q: The derivative of the function y 1 = COS Va at a = 0 is equal to

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Q: Find the derivative of the function. sin(x) y = /cos(x) In(8 + 3v) dv y'(x) = 0

A: Here we use Leibniz integral rule and define the formula:

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

A: Given function is

Q: can you help me step by step with this problem?

A: Please see the white board. Let's differentiate both sides with resepct to x.Recall that:d(cosx)/dx…

Q: Find the derivative of the function x3 y = / 9vi sin(?) dt. %3D

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Q: 1. y = cos2(2x − 1)

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

Q: Find the derivative of y Cos3 3x+8 (x). %3D Provide your answer below: y = D

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Q: Can you help me with this problem step by step?

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Q: Find the derivative of y with respect to t. y = 5sin (4t)

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Q: Find the derivative of y with respect to x. 26) y = sec-1|2x+3 5 26) y = sec

A: We find the derivative using the chain rule

Q: 1 c. y = 4 sec÷x 4 Arctan 2x d. y

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Q: Find the derivative of y with respect to X Y=cos^-1 ( 3x^7) dy/dx=

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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: i. y = cosh(2x – 1) %3D 1 j. y = arccosh H| 8

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Q: The derivative of the function () y = In is: tan x,

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Q: Use the chain rule to find the derivative of the function z = 2a*y³ – xy? along the curve given by x…

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Q: Find the derivative of y = [A 0 tan Od0. sin x

A: Then substitute it in dy/dx and use chain rule Write the integral as two parts: