d u' (d) -[arccot u] dx 1 + u?

Q: dy at the poin dx

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Q: d. sinh - u = 1 du dx V1 + u? dx

A: To find the derivative

Q: find dy / dx by implicit differentiation.

A: In implicit differentiation, on differentiating y, we use dy/dx.

Q: Use Green s theorem to evaluate the give (y² dx + 8xy? dy)

A: In this question we will use basic of calculus i.e concept of integration. We will use green's…

Q: Prove the formula.

A: Given a function Arc Sine Hyperbolic (t). We need to find the derivative of the function. Let's…

Q: Find dy for all of : dx 1- y = x/Inx у

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Q: Find

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Q: sen z + cos x dz | (tag z + 1) dx = In sec x+z + C 37. %3D cos 2

A: 37.   Given integral, ∫sen x+ cos xcos xdx

Q: 2. dx Ix Also, Prove that 22 %3D dxdj = dy dX

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Q: Let y tan 1)2x then dy/dx at x-1 is

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Q: // sin(7x²) dx dy. Compute O y/3

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Q: tan (VT)+2 dx J Va (sec(VT) – cos(/7))

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Q: 29. [sin (9y)sec (9y)dy

A: Use the formula sin2x + cos2x =1.

Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: : )-+(÷), zw= (C) dx 1 et %3D dt 1 (: :)-+(-), -= (C) dx dt 1

A: Given dxdt=0110 x +ete-t Here let take A= 0110A-λI=-λ11-λ=0λ2-1=0λ=±1 Hence the eigen vector for 1…

Q: Vz²+1 ev° dy In a

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Q: r(10,3,3) dx (1,1,1) dy dz. - -

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Q: Find dy ду é^sinx in sx

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Q: dy Cos(3x) + (In x)

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Q: Integrate: | cos" z dx

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Q: dy Find at x = dt – 4 if y = dx - 2x2 + 3 and dt 2. - - dy dt ||

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Q: d²y 1.) of y = sinInß and x = In(Inß) dx2

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: find dy / dx by implicit differentiation.

A: Given equation is x4y-8xy+3xy2=9. To find dydx. Solution: Power rule of differentiation states that:…

Q: Calculate the derivative. y = cos 3x In (cos ²3x) y' =D %3D

A: We can find the derivative as below.

Q: By using chain rule Find dy/dx iff- u=-1, x=-1

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Q: Evaluate 2Sin x´dx, by (i) mid-point rule, and (ii) Simpson's 1/3 rule.

A: i)Given:        ∫242sinx2dx   Mid-point rule:       ∫abf(x)dx=∆xfx0+x12+fx1+x22+fx2+x32+...…

Q: S2ta J 2tan x In (cos x) dx=

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Q: find dy / dx for Hhe tellowing in (sec EX) In (cosp?}

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Q: Use Leibniz's rule to find dy dx dy dx for y= 8x-1 √ (t4-5) dt.

A: Concept: Newton Leibniz Theorem : Newton Leibniz A formula for differentiating a definite integral…

Q: Q) - Find of y = sin de dy ! -11

A: Siny = 1/x.

Q: d tanh (u) du Sech (u) dx dx

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Q: cos(2y - x) = 3ysin x

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Q: (a) --y = 2x?y, y(1) = 1 dy dx

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Q: Find dy/dx at the given point 6x2-5y3=2x-5y at (0,1)

A: First differentiate the equation and then substitute the value of x as 0 and y as 1.

Q: 3z cos(z)dz

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your v?

A: Solution

Q: = (u² - cos v, u + sint, cos v) x(u, v):

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Q: Solve the Linear DE dy/dx = 1+ 3y tan x

A: I have stated the used formulas in the solution.

Q: Q3) Find dy/dx if 1- y= In /x 2- y3xsin

A: 1) d(ln(x))dxApply the chain rule: 12ln(x)d(ln(x))dx

Q: dy+チ=-

A: Note: Since you  have mentioned multiple question, I answered first problem. If you need answer of…

Q: Find oy for dx2

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Q: Find dy/dx y = -sec u, u = x- COS X |

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Q: Find dy/dx implicitly. exy + x2 - y? = 11 |

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Q: dy 1. sin 2ycos2y

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Q: Compute dx in two ways and verify that the answers agree.

A: Assume the given integral be I. I can be integrated via trigonometric substitution by substituting…

Q: y = In(x +1)

A: Given that : y = ln(x2 + 1). Find dy/dx  We know that derivative of - d(lnx)/dx = 1/x. And d(xn)/dx=…

Q: Sin'z dz 4.

A: Note :- These are multiple questions and you not mention here whose solution you want. So i am…