(a). S xV1– xª dx. (b). S, 1 =dx. Vx2-2x+2

Q: S16 -X2 メー dy dx + x?+yz

A:

Q: Find the I.F of dy/dx= 1/(2xy)

A: Given that, dydx=12xy we have to solve this differential equation.

Q: Find dy/dx in terms of t if x = t – t°, y = 2 + 9t

A: Given, Now differentiate with respect to t we get, dxdt=1-3t2dydt=9

Q: Find the dy/dx if y = x2 + 3x +1 and x = t2 + 2. A) 4t3 + 14t2 B) t3 + 4t c) 4t3 + 14t D 4t3 +t

A:

Q: What is f P-(x)dx if the given DE is y(6y2 – x - 1)dx + 2xdy = 0?

A:

Q: Find dy/dx, where y = (x2 - 1)4 (x2 + 1)5.

A: y=x2-14(x2+1)5

Q: Find | (V – 6e") dx, where A > 3. Answer choices have been slightly simplified

A:

Q: dy 4. a2+ y? = ry (Bernoulli DE) dx

A: Answer and explanation is given below..

Q: Q2: If y=t? and x=3t-1 find dy/dx

A: y=t2, x=3t-1Formuladduun= n un-1

Q: Find dy/dx If y ex A 2/א"e ],/איe D-2V B.

A: We have to find dy/dx.

Q: Find for y = dx dx X [11tªdt. 0

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Q: F Só So dx dy. x2+1

A:

Q: Q2. Find of y = 4x/x + Vx at x = 1 ? dx

A:

Q: : x d²y dy dx² dx + +my = 0, given that

A:

Q: y^2 dy/dx = 4 is:

A:

Q: d) S 3x²e*dx e) 2t?Vt3 +1 dt

A: evaluate the integrald)∫3x2exdxe)∫022t2t3+1 dt

Q: Find for y = dx dy dx 1 C

A: On solving this we will get

Q: calculate  d^2y/dx^2 for y=e^7-2x + 12

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Q: хе*+2 y = e2x+1

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Q: What is the value of dy/dx at x = 4 of the function? x-5 y = 2x+1

A: Given                     y=x-52x+13 we know that…

Q: dy Find dx if y In(x2 32)

A: Given:

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

A: Given : 5x+7y=3

Q: a) Find dy =dx when y=(x² – 5x +7)*

A:

Q: Find dy by dx when y is equal to 3x³-12x²+7x-19 divided by 4x

A: To find dydx when y=3x3-12x2+7x-194x. Solution: Power rule of differentiation states that:…

Q: + 2y = 1- x>0 dx

A:

Q: Given y=−3cosx, what is dy/dx?

A: y=-3cosx

Q: For y = 5x2 + 10x – 3, find dy at x = 2 if dx 0.1. -

A: The given function is  y=5x2+10x-3

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

A:

Q: If f(x)=3^x x^3, what is dy/dx?

A: Solution: Here  f(x)=3xx3

Q: Q2:Fid for : y = dy ncothx + sechx* dx

A:

Q: dy + 4y dx 31 with y W differen ナけ:

A:

Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: dy/dx of y=e^3x+1

A:

Q: If 3x² + 2xy + y² = 2, then the value of dy/dx at x = 1 is

A: Given that        3x2+2xy+y2= 2 We have to find the value of dy/dx at x=1.

Q: d V3i dt = dx x²

A:

Q: 4-3x dy dx X,

A: its a multiple integral based question.so 1st we integrate with respect to y and then with respect…

Q: dy Find for dx 1 y=-=-72-8√x x

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Q: dy Find and simplify as possible: e*y + In xy = 3 dx

A:

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: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: C. Find Sx® In 3x dx using by Part techniques.

A: Here we will use the formula of integral by parts. Assume, f(x) = ln(3x) and g(x) = x^8 Formula will…

Q: dy y3 – x3 dx ху?

A:

Q: Determine dx dy if y = r -e' and x In(4f)

A: (1) first we find dydt (2) Second we find dxdt (3) then we find dydx=dydtdxdt

Q: Q2. Find of y = 4x/x + V at x = 1? dx

A:

Q: dy 3x + et Find for y = dx x2 – 5 Ans=

A: y=3x+exx2-5To find dydx

Q: Find dy/dx in terms of x given that x = e3t, y = e2t+3

A:

Q: Find the dy/dx for  y = (ex(2x2-1)5)/(x2(sqrt2x+1))

A: This question is based on two diffrentiation rule-: 1. Product rule 2. Quotient rule.