Q2. Find of y = 4x/x + v at x=1? dr

Q: Q2 /Find dy/dx, if: (1) x y+y =x2 (2) y = 3x* -5x' +10 у -

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Q: SSo+ + y+z) dz dy dx 0.

A: Triple integration is used to find the volume.  Use power rule of integration

Q: 9) Where is the function ht) = (t+ 5) differentiable?

A: Given         h(t)= t+51/3

Q: Determine dy for y=VX2+1 . dx2 alx

A: Obtain the second derivative as follows.

Q: ve for dx/dy or X y' +x 'y'+ 9. yxy+1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: y= lux of yoe Find DfR.

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

Q: dy If y = (t + 7t + 6) (4t² + 5), find dt

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Q: Find for y = dx dx X [11tªdt. 0

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Q: Q#3: Find the total derivative dy/dw. Y=3x+2w+5z? x=4 In(w³) z=e+3x³

A: Given,           y=3x+2w+5z2 , x=4 lnw2 , z=e-z+3x-3

Q: Find the equation normal to x² + 3xy + y3 = 15 at x = 1. %3D

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Q: S. y dk t x dly luhere L=

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

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Q: dy Find- , if y = 2x+9 dx x2- 5x+1

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Q: Find dy/dx for: y = x2 − sec x + 1

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Q: Find dy. y = x| 13 dy = (Simplify your ans × |5

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Q: Find dy/dx for y =x − 1/ex√(1-2x)

A: given: y=x-1ex1-2x it can be written as: y=e-xx-11-2x we have to calculate the value of dydx.

Q: 2e2x) when x=0 and y=3. dx Compute

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Q: ey+Ve2y-4 5. x = In sove for y' 2 Inr

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Q: d'y If x =t-sint , and y=1-cost, find

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Q: Q2. Find 2 of y = 4x/x + Vx at x 1? dx

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Q: 8. Find when x = t3 -t and y = 4 –- t². dx'

A: Here, the given functions are: x=t3-t & y=4-t2⇒x'(t)=ddt(t3-t)=ddt(t3)-ddt(t)=3t2-1…

Q: Q2\ find y' when y = Vx² • sin2x + cosh 5x %3D

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: Find dy/dx for f(x)=(Inx)x^2

A: Given:y=fx=lnxx2We need to find: dydx

Q: find the dy さ× when 3In X リ=(メ+z)m

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Q: Find dy/dv for  y= ∫v0 [(7+8t2)](1/2) dt.

A: Given:- y=∫0v7+8t2dt To find:- dydv

Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: dy Q4: If y = tanh e3x find dx

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Q: Sove for dy 4 X3 hy= e*csch (2-y?)

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Q: 4. Determine dx2 - of the function y = v1– 2xt + t² |t= constant

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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: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: ) L(3.98) where L(x) is the linearization of y = √√x +3 at x = 1 (tangent line approximation)

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

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Q: Evaluate dy for f(x)= (square root of x) +3 where x=9 and dx=0.12

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Q: Find dydt at x=3 if y=4x^2−4 and dxdt=3

A: Given  Differentiating with respect to x, we get

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

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Q: dy Q5/ a) Find if y = esin(2x) dx

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Q: Q5: Find for the following functions: dy dx (4) y = x sinh 2x - cosh 2x

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Q: dy Find for dx 1 y=-=-72-8√x x

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Q: Solve for dy when y = + 3x, x=2 and dx =0.5

A: The given problem is related to total differentiation.

Q: Q1: Using Intermediate value to find Y (0.2) dy when = 2x+2y?, h=0.05, y (0) =2 dx

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Q: Find dy dr dy dr for y = ㅇ 2 5+ 6t dt.

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

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Q: Q4/ Evaluate (xy + e") dy dx using Three point formula in x,y-axis and two point formula in z axis

A: You must have an basic idea of double integral to solve this.

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.

Q: Q3. Change the order of integration and evaluate * * dy dx.

A: To evaluate ∫04∫0xdy dx using the change of the order integration. From the limit of integration the…