Find the indicated derivative. 1 - 2x2 x4 - 2x2 + 4 dy for y dx dy dx %3D

Q: 5. Find dy/dx (y - x)? = 2x + 4

A: Given: y-x2=2x+4 To find dydx. Solution: Power rule of differentiation states that: ddxxn=nxn-1…

Q: dy and d²y if x = t and y = 3. Find dx dx? 1+t 1+t

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Q: Find dy for the given values of x and dx. y = x3 - 4x2 + 2x + 1; x = 8, dx = -0.3 O-37 O 39 O-39 O…

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Q: y/2 dy dx Ans é-l

A: As per answering guideline, only one question can be answered at a time. Please repost other…

Q: Find dy/dx.x = 2/ty = √te-t

A: We find dx/dt using exponent rule.

Q: 3. dx –x' csc 2 ydy -dy tan 2y

A: Given that: dx-x3csc2ydy=xtan2ydy

Q: dy ху? dx. dy - 2y³. - x³ + 2xy? = 0 dx

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Q: -3 (x + y)dx dy

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Q: (2х — 3)* y = - х +1 .2 х*у + 3ху3 — х %3D 3 X =

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Q: 3. x (dy/dx) = y + x³ + 3x? – 2x

A: The solution for the above question is as shown below.

Q: (x – y)dx + xdy = 0. (x – 2y)dr + xdy = 0. (x² – y?)dx + 2xrydy = 0.

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Q: x*+e*)dx -In

A: Given: I=∫x-1+exex-ln1xdx So, simply we can write as; I=∫x-1+exex-ln1xdx=∫x-1+exex-ln1-lnxdx…

Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: d x4 – 5x? + 7 dx x2 + 1

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Q: Find for y = dx dx X [11tªdt. 0

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Q: y = | cosx + x² dx

A: Use the basic concept of integration and solve the indefinite integral.

Q: dy ) - /1 – x² find? dx y = x sec-1

A: Consider the following equation: y=xsec-11x-1-x2 Differentiate the above equation with respect to x:…

Q: (x - ky) dx +k(y-x)dy=0 where k 3t7

A: Given :(x-ky)dx+k(y-x)dy=0where k=7+3=10

Q: Give a geometrical explanation of why

A: Consider the given integration as ∫aafxdx=0

Q: dy + 2xy = 1. dx

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Q: Find the given derivative. 6. D,5x D.5x

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Q: dx 12. ye' dx = (y³ + 2xe) dy. %3D

A: To solve the given differential equation.

Q: dy Q3) Find dx for 3(x? + y?)2 = 100xy %3D

A: The given equation is 3x2+y22=100xy.

Q: 2. ye* dx + e*dy = 0

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Q: Ex:Salve the d.fferential equation (3x-y-1)dx-(X-y+3)dy-o

A: A function f(x,y) is called a homogenous function of degree n, if it satisfies the condition…

Q: 2 x? y dy dx 0 - 3x

A: Solution Given ∫02∫-3xx2ydy dxWe need to find the integration.

Q: dy 3. dx

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Q: dy Find dx? e 2y + x= 3y d²y 2 dx

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Q: d?y Find for the given function. dx2 y = x - - - sin(x) 9 dzy dx2

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Q: 4) dx + xdy = x²e dy

A: The given differential equation…

Q: х*у dy — ху?dx + Зу dy- 2x dx —D 0

A: NOTE: Refresh your page if you can't see any equations. .

Q: dy Find and simplify whenever possible. dx y = e(2x + Inx)

A: Given:- y= e(2x+lnx)  To find:- dy/dx

Q: If y = u and u = 3x + 3, find dx X = - 1 11 dy dx when x = -1. (Simplify your answer.)

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Q: e'dx+ cosx dy 2. t.

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Q: dy + 2xy = 4x dx

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Q: B) Find for the Implicit function: dx x? – sin(xy) + y? = 5xy

A: The given equation is; x2-sin(xy)+y2=5xy.

Q: The value of (3x² +2/Zxy+3y*) dx dy e

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Q: 3- [y?(x + 1) + y]dx + [2xy+ 1]dy = 0

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Q: Give the order of the equation (x* + 2y)dx – xdy = 0. Give the degree of the equation (x* + 2y)dx –…

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Q: Find using the rules for finding derivatives dx y= (2x? - 6) (8x? - 9x + 9) dy dx

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Q: Find the indicated derivative. dp for p da q2 + 2 49 - 3 dp dq

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Q: 4) dx + xdy = x²e" dy %3D

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Q: Find dx dy 2 and simplify theresult whenever possible 6. y = cscxcotx

A: As per the guidelines, first question can be done. Please resubmit other question as well. 6. To…

Q: Find dy/dx for the given value of x y = In(x² – 8) ; x=4 A. 1 В. 2 C. 0 D. 3 Е. 4

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Q: Find using the rules for finding derivatives. dx y= (2x? - 6) (8x? - 9x + 9) dy dx

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Q: Find the indicated derivative. d 15x+37 dx d 15x +37 %3D dx

A: we have to find the derivative: ddx15x+37x   as we know that the quotient rule of differentiation…

Q: A. ((x+1)? -y? ) dy dx

A: Sol

Q: Find for the given equation. dx x8 – y6 = x dy 1- dx

A: Differentiation

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: