Question 12 VI² – 1 What is the derivative of y O y = 1 1 - 1 O y' %3| 22-1 O y' =

Q: 2. Find the derivative of y = 2 1 1- x² + arcsin x 2

A: As per our guidelines, I can answer only one question and maximum three subparts of a question.…

Q: find the timear form of this differential equation

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

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Q: Find the 80th derivative of y = cos(2x).

A: The given function is y=cos(2x)

Q: Find the differential equation characterizing the family of curves described tangents to ky = x^2

A: We need to find the differential equation characterizing the family of curves described tangents to…

Q: 3) Find the derivative Of S> Sin (xy) + e' v#5

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Q: Question 13: Find the derivative of: y = 7e8x ln(3-9x6)

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Q: Question:4 Calculate by implicit derivatives (tan x)" + ycotx + sinxy – exy – In2 = 0 - dx

A: The given function is tanxy+ycotx+sinxy-exy-ln2=0 Now, we find the derivative of each term…

Q: x'+z=et; x(0) = 1

A: Take z as constant

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

A:

Q: 1. Y = In x In x 2. Y =

A: To find the derivative of the given questions 1) y=2√x/(lnx) 2) y=lnx/x²

Q: Find the derivatives of the functions y = ln cos-1 x

A: The given function is y=lncos-1x.

Q: ds 1+csct 3. Find the derivative of the function s= dt 1-csc

A: according to guideline we should able to do only one question at a time

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: Ө+5 y = Өcos 0

A:

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: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

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Q: Question 2 Find the derivative of f(x) = x³ cos(x)

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Q: In (1 + 2), What is the derivative of y .? e2z %3D

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Q: Find the derivatives of: d/dx (ex-e-x/ex-e-x) And the derivatives of: f(x)=ln((2x+1)3/(3x-1)4)

A: the given expressions is: dex-e-xex-e-xdx the given function is: f(x)=ln2x+133x-14

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

A: Given,

Q: Question 13 Find the second derivative of f(x) = x 3Inx O x(5+Inx) O 5x + Inx2 O x(5+Inx2) O 2x…

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Q: The derivative of the function y = cos(x In 3) log3(sin x) is:

A: Given,            y=cosxln3log3sinxTo find : The derivative of the given function.

Q: Problem 4. Find a derivative A) Vy = xy+ cos y and %3D

A: The given function is y=xy+cosy

Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

A:

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

A: use simple integration formula.

Q: 24. What does it mean to say that dV is an exact differential?

A: What do you mean by dV is an exact differential.

Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = ln(cos(e3x))

A: Note ÷ I have used chain rule and product rule multiple times. Please look carefully.

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

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Q: Find the derivative of y with respect to s. (56° +3) У3 sec

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Q: y +2xy =x+y

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Q: Find the 85th derivative of y = cos(3x).

A: Do the derivative many times and observe the pattern that derivative follows. Generalized it and…

Q: find the differential equation of the family of logarithmic curves whose equation is Cy = ln(Cx).

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Q: 11. In y = e" sin x

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

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Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 %3D dx b) EVALUATE THE DERIVATIVE FROM PART a AT…

A: Given: x4y3=-8

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: 32. y t + e3t

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 3x-4 1. Y= Arctan

A: To find second derivative of the given function.

Q: Question The derivative of the function y = cos(xln 3) log3(sin x) is:

A: We will find the derivative.

Q: The linear differential equation y' - cotx + 3y csc x = 0 has the integrating factor tan A tan () B…

A: The objective is to find the integrating factor of given equation: y'-cotx+3ycscx=0

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

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

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: Question 12 Find the 2nd derivative (y") of y=√x ln x In 2

A:

Q: How are the derivatives of sin-1 x and cos-1 x related?

A: Given functions are sin-1x and cos-1x

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

A: Given: