a) Find dy =dx when y=(x² – 5x +7)*

Q: 3) Find dy dx a) y = x+In(sec 3x) %3D In(x+)

A: solution:-

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: Find dy dx If y = 1- t² and x = 4+²

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Q: Find dy dx? if y= 5cos2x-4sin 2x at x =0

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Q: If y = 2x^2 - 3x and dy/dt = 3, find dx/dt when x=2.

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Q: What is dy/dx of 1/2e^2x

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Q: dy/dx if y = cosh 2 Jx +1 2 JX +1

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Q: // sin(7x²) dx dy. Compute O y/3

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Q: 7. Solve for dy/dx if x = 2 + t and y = 1 + t2

A: From the given problem: x=2+t;y=1+t2 As we know that the Power law: ddxxn=nxn-1 We know that:…

Q: 4. Find dy/dx og y = xsinx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Q3. Evaluate : IL (2) * dy dx

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Q: Find dx/dy if y = x² + 1/x

A: To find dx/dy if y = x² + 1/x

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

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Q: 2e*/y dy dx 2.

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Q: Find dy/dx if y = u5 - 2u3 + 8 and u = x2 + 1.

A: Given function are: y=u5-2u3+8......(1) u=x2+1......(2) The objective is to find the value of dydx.

Q: 3. LLa (x + 2y) dy dx

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Q: Find dy/dx: y = In [(1 + t^2)/(1 - t^2)]

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Q: 1. (ex-y)(1-e²y)¹/² dx = dy

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Q: Find dy/dx for x2+xy+y3=1

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Q: O Calculate ........... 2 4-y2 dy dx O I-X ® yde dy

A: Here we will find the solution of question 4. a)∫01∫1-x1-x2dydx Solution: Here the independent…

Q: Find dy/dx if y= cos-1 In(x+1)

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Q: what is dy/dx of x+ylny=y+xlnx+1

A: Given,          x+ylny=y+xlnx+1

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

A: Given:

Q: dy Find for dx 3) y = In(vx2 + 1+x) sin¯1x X.

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Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

Q: Find dy/dx implicitly exy+x2−y2=19

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Q: 11. Find dy/dx of In(x² + y²) + 2 arctan

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 22. Find OY if y2 - 4xy + x² = 10. dx

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Q: 4. if x^3+y^3=2 find the value of (d^2y)/(dx^2) at the point (1,1)

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Q: Find dy/dx by implicit differeniation x2y+y2x =- 2

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Q: Find dy dx : y = arctan 2+1 x-1 at x = 1

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Q: Find dy/dx in terms of t if x = t- 2, y = 2 + 1t dy/dx= [

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Q: By differentiating x² – y² = 1 implicitly, show that d²y | dx² ||

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Q: 8) a) Find dy/dx if: e3x = x+y b) Differenctiate y = (sin r)"

A: We know that general derivative of d(xn)/dx is nxn-1. And derivative of d(sinx)/dx = cosx  d(lnx)/dx…

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: Find dy/dx implicitly. exy + x2 - y2 = 10 dy dx

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Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

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

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Q: Find dy/dx and dx/dy from 6x-x'y +4x 0

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Q: 19. Find dy/dx. y = x²

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Q: dy い+ with dx y(-2) = 2 ニ - y x

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Q: Find dy/dx and d 2y/dx2 if x = 1 + t 2 and y = tln t.

A: Given: x=1+t2y=t ln t   Chain rule for derivative: ddxf(g(x)=f'(g(x)).g'(x) Product rule for…

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: Find dy by dx Y= 1-x² ÷2-x

A: Given that: y=1-x2÷2-x

Q: If y = (x² - 3x +2)(x² - 2), find dy/dx and evaluate dy/dx when x = -1

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Q: Find dy/dx by differentiating xe²y + 7 = 4y² – 5ª implicitly.

A: Given: xe2y+7=4y2-5xDifferentiate both side with respect to x

Q: I sin 2 dy dx (x² – y) dy dx 5. 6. x? – y² dy dx 8. L ellyt dx dy 7.

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Q: 17. dy dx = y2/3

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 9) (x- y°-Ay-1) dx t 2x (x4 y +2)dy =o

A: As we know that the differential equation Mdx+Ndy=0 is exact, If ∂M∂y=∂N∂x. The solution is:…

Q: Find dy for dx 6) In y = In xe*

A: Topic:- derivatives