Question 8 cosh(12x) is The derivative of y=cosh2(6x) + y'=6 sinh (12r) +6 sinh (6x) cosh (6x) y'=6 sinh (12r) C) None of the given choices D y'= 12 sinh (12x) y'=12 sinh (12x) +6 sinh (6x)cosh (6x)

Q: Find derivative of the following functions 1. y= sin^-1 2x^2 2. y= tan^-1 2x^2/5

A: Given 1. y=sin-1(2x2)2. y=tan-1(2x25)

Q: find the derivative of y with respect to the appropriate variable. 1. y = cos-1 (x2)   2. y =…

A: Part 1. Given,

Q: Use..U. substitution. to. find each antiderivative. -48x 5-3x4 dx -3-

A: *to find:- integral value of the given function using substitution method.

Q: Find the derivative of f(x)=sin sin(5x

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Q: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

A: Introduction: The four-step method to find derivatives is actually determining the derivative of a…

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

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Q: | If In(x² – 3y) = x – y + 3 and y(-2) = 1, find y (-2) by implicit differentiation. y(-2) = An…

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Q: Find the derivative of y=cos4 x sin4 x Ans: 1/2 sin3 (2x) cos cos (2x) solution?

A: We simplify the given expression using the double angle property

Q: Find the derivative of g(x) = e * x). sin (1+ 0-3x²e*cos(1+x°) O xe*1sin(1+x°)+3x²e*cos(1+x) O…

A: The product rule of derivatives states that duv=u'v+v'u.

Q: Find the indicated nth derivative of the following: 1 7. 2nd derivative of y = xArcsinx + v1 – x²…

A: Find derivative using product rule and composition of functions rule

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.

Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Activity 2 Find the first derivative of the following: 1. y = ln (12x) 2. y = sin-¹ (x² + 3) 3. y…

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

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Q: 18) Find the first derivative of y = 1 -sin² x - 4

A: The given function is: y=14sin2x

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: 2х Find the second orfer derivatives of y=Tan" 1-x3

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Q: Question 4 What is the second derivative of y = csc* (2x) ? A y"= -8 csc“ (2x) cot (2x) B y" = 16…

A: Please see the answer below.

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: Question 5 Find the derivative: y = (3x 2x) Va5 2x + 2 - - dy 27-14x5-30x2+36x-8 2Va5-2x+2 (3x-2)…

A: The given function is  y=(3x2-2x) sqrt(x5-2x+2).

Q: The third derivative of y = sin is 1 -sin b) y" = --cos 1 а) у 8. 2 2 c) y" =-8sin d) y" = -8 cos

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Q: 17. Find the first derivative for J(x)=tan0x sec0

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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: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: Find the 3rd derivative of (1 + 2y)³ + eª (sin² y) - 3y cos(e=? )

A: Given data (1+2y)3+ex(sin2y-ycosex2=3y and find 3rd derivative or d3dx3=?

Q: 2. Find the derivative of: (a) A(x) = [ 1n | In(sin(3t)) dt (b) A(x) = L, In(sin(3t)) dt

A: According to the Leibinitz rule :

Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 1-cos 4x Find the derivative of y sin 4x

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Q: S Sin 5t-205 2t-2(03 2€ ; s(登)=

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Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: What is the second derivative of y = 2x -+ sin x with respect to x? a. 2 -+ cos x b. 2 ++ cos x -+…

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Q: al derivative using your own words.

A: We have to define the directional derivative

Q: 17) Find the derivative of y = x? COs x - 2

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Q: y=ln(sin(X3-1))

A: Detailed explanation is attached below.

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: 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: 1) Find the 3rd derivative of y = sin(x) %3D

A: To find the 3rd derivative of y=sinxx. Solution: For finding third derivative, we need to find first…

Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

Q: 5. Find the derivative of --( 1 + sin 0 cos 0

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Q: 5. Find the derivative of h(x) = cos(sin(cosx)).

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Q: 3. Find the derivative of: y = csch¬(In (sech(sec()))).

A: Note:Two questions submitted simultaneously, kindly upload question 2 separately.

Q: Problem 2 Find dy/dx of y = x* at the point (2,4) by following a similar procedure: 1. Apply In() to…

A: Applying “ln” on both sides of equation and simplifying.

Q: What is the derivative of: 4 ln(sec y + tan y) − 2x − sin 2x = 1

A: Given: 4 lnsec y+tan y-2x-sin 2x=1 To Find: dydx=?

Q: Y = 2 Arccos ( 1 -) + v4x – x²

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Q: 4. If y = x cos x determine the 5th derivative. [y6) = (60x – x³) sin x+ (15x? – 60) cos x] |

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Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

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

Q: Example 2.35: Using Implicit Differentiation to Find a Second Derivative d'y dx Find if x +y² = 25.

A: Explanation of the answer is as follows

Q: Show that x + yx−1 = 1 and y = x − x2 define the same curve [except that (0, 0) is not a solution of…

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

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