find derivative of g(x)=integration3x2x (u2-1)/(u2+1) du

Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: dy Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y³. dx

A: Given that: 3x2 +2xy = -4y3. Find dy/dx. We know that derivative of xn is nxn-1.   Here i attached…

Q: Find the derivative of f(x) = tan tan (3x2+2x)( Ans: (6x + 2) sec2 (3x2+2x) solution?

A: Let,

Q: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

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Q: Find the derivative of the function. 1-X y arctan, 1+x y'= I3D

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Q: Sketch the x^2 And the derivative And integration

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Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: 2. Determine the second derivative of f(x)= x'e* at x = -2 with a step-size of h=0.50 using Central…

A: Given function is f(x) = x2e2x and h = 0.50

Q: Find the derivative using DELTA METHOD f(x)= 2x-x2

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Q: Find the derivative of the function using 3-step rule: v (t) = -.

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Q: Find the second derivative and the points of inflection using the second derivative f(x) = ln(x) /…

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Q: derivative of y = arctan(x2+ 3)

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Q: 2. Use logarithmic differentiation to find first derivative of y (sinx)r

A: Formula used: ddx[u(x)v(x)]= u(x)v(x).ddx[ln(u(x)).v(x)] ddx(u.v) =dudx.v + udvdx

Q: 2. In y = 2" + x cosh 2x

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Q: S(x)= Jx-5

A: given that f(x)=1x-5 find the derivative from first principle f'x=limh→0 fx+h-fxh

Q: (b) Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y3. dx

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Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

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Q: 8. Find the derivative of y = x arctan 2.x --In(1+4x). -- - 4.

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Q: Choose the derivative of sin (x). - 1 1 1+ x2 1 x2 | 1 1+ x2 1 xVx2 1 - 1 V1- x?

A: It can easily find the derivative of function

Q: Determine the second derivative of f (x) = x²e* at x = -2 with a step-size of h=0.50 using Central…

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

Q: Which derivative rule is used to derive the Integration by Parts formula?

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Q: sinx 3. f(x)=(x)*

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Q: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

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Q: 2. Determine the second derivative of f(x) = x²e²* at x = -2 with a step-size of h=0.50 using…

A: Given function f(x)=x2e2x. The objective is to determine the second derivative of fx at x=-2 with a…

Q: Find the derivative of x2cosx+2xsin x O 2xcos x O x² sin x + 2xcos x Ọ xzcosx y=x²sinx

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Q: Find the critical value of f (x) = vx² + x – x using the second derivative test. %3D

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Q: Using the Chain Rule, compute the first derivative of sin 1–x.

A: chain rule Let f(x) = g(h(x)) And let u = h(x) Using the above, function f may be written as: f(x) =…

Q: 1-sinx f(x) = V1+sin x

A: Since, you have asked multiple question , as per the company guidelines we will solve the first…

Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

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Q: Solve for the derivative of the function using chain rule. 8. f(x)= sin (2x)cos (3x)

A: Given problem:- Solve for the derivative of the function using chain rule.   8.     f(x)= sin…

Q: Find the derivative of y = csc(V3x² +1

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Q: Find the relative extremum of g(x) = x - 3x +1 by using first derivative test.

A: Let g(x)= x3-3x2+1 To find the relative extremum , here we use first derivative test In this method…

Q: Can the  derivative of f(x) be zero in the interval [-1,0]

A: Given, fx = x4+8x+3  f'x = 4x3+3   We have to find the derivative of fx be zero in the interval -1,0…

Q: Determine the second derivative of f(x) = x²e²x at x = -2 with a step-size of h=0.50 using Central…

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Q: Compute the derivative ln(ex+1) / 2x+1

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Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

Q: 2. Determine the second derivative of f (x)=xe* at x = -2 with a step-size of h=0.50 using Central…

A: Given f(x) = x2e2x

Q: In(X+ bnx) %3D

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Q: is the derivative of In

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Q: 3rd derivative of y sin 3x

A: Here we have to find the 3rd derivative of           y = -1/sin(3x)

Q: find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x?

A: The given function: f(x)=x4-2x2 To find the first derivative of the function: f'(x)=4x3-4x Now, let…

Q: 2 12. f (x) = (1tsinx) Cosx

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: Find the derivative of the function y using the increment method or three- step rule. vx +1

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Q: Use implicit differentiation by partial derivative to solve for dx of function 3x2 + 2xy = -4y3. %3D

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Q: 1.Find the derivative of y = - arcsin %3D V4-x2

A: Given:        y=x4-x2-arcsinx2 differentiating on both sides     dydx=ddxx4-x2-arcsinx2…