dy Q:: Find for the following functions: - dx 1) у %3D (х — 3)(2х + x?)

Q: dy is: Given y 12ln2x - tan4x, its derivative dz

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Q: dy (а) Find for y = cosh(4x). dx 10 (b) Find ( + i) 4

A: Given that: (a)y=cosh(4x)(b)14+14i10

Q: Find for the function y = 3*. dx dy dx 11

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Q: Q3) Evaluate xty'dy dx?

A: Given: ∫24∫12x2y2dydx

Q: y= lux of yoe Find DfR.

A: Explanation of the solution is given below...

Q: Determine dx dy in terms of x and y for the equation x + xy? – y = 3.

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Q: Find dy/dx in terms of x and y if x8 + y? = V10. %3D dy dx ||

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Q: dy Find by differentiating implicitly. When applicable, express the result in terms of x and y dx…

A: As per guidelines we can answer only the first question, so if you need more answers kindly repost…

Q: dx

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Q: dy A. Find for the following: dx y = Vx3 +- In(esinh¯ x) i. x8

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Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: dy Find for y = x17 dx А. 1716 В. 216 С. 16х16

A: A detailed solution is given below

Q: dy 5. (3 pts) Determine given: dx аx*у3 — bху %3D 36 where a and b are constants.

A: 5. Given relation is, ax4y3 -bxy=36 We have to differentiate this relation with respect to x.

Q: dy e: Find for the following functions: - dx 1) y = Vx + 8Vz – 2

A: Given : y = x+8z3-2x3

Q: Find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y.…

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Q: Use the information to find and compare Δy and dy.

A: Given that, y=x2-5x=f(x) x=-3 ∆x=dx=0.01   As we know, ∆y=f(x+∆x)-f(x) dydx=f'(x)⇒dy=f'(x)dx

Q: dy for the following functions: dx Find 2 y= x³+

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Q: dy Find of the following function: dx (x² + 1)° e-2+

A: The derivative is calculated as follows:

Q: Q1/ Answer the following: 1- " |x | dx = ? 2- ofw4 sec² x dx =1

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Q: dy Find for the following: dx a) у- 1 + 2x3- x b) y = x° /x+ 3

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :  1 .…

Q: Find dx2 if X = In(sint) , y=1+cost when t= T/6.

A: In this question, we need to find d2ydx2.

Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: Given: y=3x2+1-5 To find: the second derivative of y. The power rule of differentiation states that…

Q: dy Find for the equation below. dx 4x + 6Vxy = 7y³

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Q: dy Find for the following functions: dx 1- y = (Inx. Vsin x ) %3D

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: dy Find for y = dx /9 – x4 dy dæ

A: see below the answer

Q: dy for the following: dx 1. Find (a) y = (6x² – 6x + 12)5 -

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: flx)dx= 15 E and flx)dx=5, then f(x)dx=? %3D

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Q: dy Find dx for the following functions (i) y = (2x³ + 3x + 8)º (ii) y = esin(2a²+3x–2)

A: By using chain rule we find the derivative of the given functions with respect to x.

Q: dy Find if y = f(x) is given implicitly by 41n(xy²)+ xy² = 8. dx 2 %3D

A: Differentiate with respect to x

Q: Q5 A) Find IF y = cost and x = sint dx at P(1.2)

A: The solution is given in the next step.

Q: dy Find if X = In(sint) , y=1+cost when t = T/6. dx2

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Q: dy Find for the following functions: dx 2 y= x³+ +x -3 -3 to

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Q: Q:: Find dy for the following functions: - dx 5x²y5 - 3x = x* + 3y?

A: Given function is : We have to differentiate it with respect to x.

Q: For the function y = x² + 2x, the value of dy when *=3 and dx=0.1 js .

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Q: dy at t = 2. dx If x = 5t +4 and y = 3t° -7, then find а. 4 b. 1 с. 2 d. 3

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Q: Q4) Find for the following functions (- dx Зх +4 %3D 2x+3 6. y = tan-1 V4x3 - 3 %3D

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Q: dy Q:: Find for the following functions: - dx 1- y = 2cot? `x+1

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −6x4 +2y4 =11

A: we find derivative dy/dx implicitly by using the result that derivative of x^n is nx^(n-1) and…

Q: dy of the following implicit functions. dx Find 1. 2y3 – 3xy? + 4x?y – 3x³ = 72

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Q: dy Find () to the following functions: dx ,2-2 2- y=(x-1)* logs()* x-2

A: We are supposed to find the derivative of the given function.

Q: Which of the following is the actual du when integrating / dx? ¿xpt 2x dx a. 2x-4 b. x²dx c(2x 3 –…

A: Given: The integration ∫x22x3-4dx, To determine: The actual du when integrating the given…

Q: dy Find for the given function. dx csc(x) y = dy dx

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Q: Given the IVP dy + 4y = x - 2, y(1) = 0, dx the value of y(2) is closest to

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Q: dy Find dx for the following functions (i) y = (3x° – 2x + 8)º - (ii) y = ecos(3x²+4x-2)

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Q: d’Y 2) Find dx? X = et et Y = et + t?

A: we have to find the second order derivative

Q: 3 Differentiate the expression (x + y )" with respect to x. (Use D for 2). dx

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Q: π ,t<. 3 b) Let y(t)= 1? + sint , find L(y(t)) 3

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Q: Given y = V1+x³, find dy/dx. Use this result to find the approximate change in the value of y when x…

A: As we know that the instantaneous rate of change at any point x = a is approximately equal to the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.