Given z = 5 ln(t) and y= 25 t then find dy dx d'y |3| 一

Q: =D{sinh(2r) – ţa dy/dx agi

A: We know that sinhx' = coshxx' = 1 and (f(g(x))' = f'(g(x))g'(x)

Q: Зx + log dy find dx If y = 4 — Зх -

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Q: x COSI dz dx dy

A: Simplify the integral

Q: S.Si dx dy о 1+ху

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Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: Solve: sin(y) dy/dx = e

A: given question is solved using variable separable method of differential equation    final answer is…

Q: Find dy/dx for the following       y=ln(x2 +1) 5

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Q: I = | In(ax + 1) dx, for a > 0

A: Find the integration of I

Q: Q1- Find dy / dx for the following functions : e0 -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

A: It is given that:…

Q: dy 5 implicitly, if e*(e – 1) + sin(2x + 5y) In(v7) - cot(2x) - = - dx y+2

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Q: Use x = ey to explain why d/dx (ln x) = 1/x, for x > 0.

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Q: A function y(x) is given by the differential equation dy/dx=1/x+2x with the initial condition…

A: We separate the variables and then integrate C= integrating constant

Q: Find  dy dx implicitly. ln(xy) + 6x = 70

A: The given function is: ln(xy)+6x=70

Q: Solve th D.E using Exact dx +(x² +3y* )dy

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

A: To determine the derivative of given function.

Q: 2. J T(x+1)((tan-1x)+9) 4. Zin10 log10 dx

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Q: Q5) find the derivative 1. x = sin and y = sin+ cos if taken together, satisfy the differential…

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Q: Find the equation of the line tangent to xe^1−x at x = 1 and x/e * ln x at x=e.

A: To determine the tangent lines to the curve using derivatives

Q: Find dx y = 4 In x+9 log 4x dy (Type an exact answer.) dx

A: See the details solution in below

Q: 33 e dx ly

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Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

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Q: Q1- Find dy / dx for the following functions : el -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

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Q: Find the differential dy of the given function. y = ln sqrt 5-x^2 dy=

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Q: dy Q1) Find dx for : 1) y = log3(3x3 + x2)2 x In(sec- x)

A: I supposed to do only first question as our company guideline. Please repost other question as next…

Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: The differential equation (3ycosx+ 4.xe* +2x'e" dx+ 3(sin x+1)dy 0 is exact because OM ON Ox

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Q: Find dy dx I-Ln(x+3)=tかが(x:)

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Q: Solve the ff. ordinary differential equa d²y dx² 1 dy x dx + y = 1

A: Here we have to solve the differential equation   d2ydx2-1xdydx+yx2=1 .

Q: Find dy/dx at the given point without first solving for y. x2 + 2xy + 17 = 0 at (1, -9) dx

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Q: The velocity dx/dt of a chemical reaction is proportional to (a-x), where x is the amount…

A: Solution :-

Q: Find So S 4:xy dx dy.

A: Evaluate the integral.

Q: dy if y = log(In x). dx Find dy dx ||

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Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = e(x+1) 3- xy + x²y 3 at x = 1

A: Here, We need to find the derivative of the given functions. To solve these questions, we need chain…

Q: Find dy/dx using implicit differentiation: xe^y − y^2 − x^2 = 2 and Find dy/dx using logarithmic…

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Q: ydx -( x+***ty? dy = 0

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Q: Find dy/dx implicitly. 9xy + ln(x2y) = 7

A: The objective is to find dy/dx implicitly.

Q: Evaluate the second derivative at the given point. dy If dx = 3 ey + x2, find at (4,0) dx2

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Q: Find dy/dx by implicit differentiation for the following.:x + ln y = x2y3

A: The given equation is x+ln y=x2y3. Compute the derivative as follows.

Q: Find dy/dx for y = (ln x) 3

A: We have to find dy/dx of  y = (lnx)3

Q: 3 y = √√2x + 7

A: Given,  y=2x+73 or x=y3-72

Q: 5. y = e-cos(x) dy dx

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Q: If y = In(6 + x8), find the differential dy. Your answer will be in terms of x and dx. Enter dx as…

A: topic - differentials

Q: dx y of y = dy cos-1(ln (xy)) Find

A: We write cos-1 as acos for simplicity. The derivative is too complex. So, we take the help of an…

Q: If tan x sin x is an integrating factor of the differential equation + Py = Q then P =? dx

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Q: Show that d/dx(ln kx) = d/dx(ln x), where x > 0 and k is a positivereal number

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Q: Find the indicated derivative. dz if z = In (x° + e 5) dx dz dx

A: Given data is: z=lnx8+e5 To find the value of dzdx

Q: Find (dy)/(dx) if ey = ex + sin(x2x).

A: Given ey=ex+sinx2x

Q: Find dy for dx 6) In y = In xe*

A: Topic:- derivatives

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.