1-r2 h(r) = Find h' (1). 2-p3

Q: A second derivative Findd2y/dx2 if x2 + y2 = 1.

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Q: 5. Find the first derivative of y = (2x³ – 1)5Vx² – 1 %3D

A:

Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORN 3x-4 1. y = Arctan 2. y = 2 Arccos (1…

A: y=Arctan3x-44

Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: y = 2.16eSin(2x)

A: SOLUTION-

Q: 5. Find the third derivative of the function : 3 (ans. : - 8y y=Vx

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: What is the first derivative of f(x) = ln 3z²+7z ?

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Q: Find the differential equation associated with y = clx^2+ c2x + c3

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Q: y = Arctan√3x−4/4 2. y = 2 Arccos ( 1 -x/2) + √4x − x2 3. y = ln (x3(x−1)/(x−2)^2) 4. y…

A: d2dx2arctan3x-44=d2dx2arctan3x-42=ddx1x3x-4=-9x-82x23x-43x-4…

Q: In (In e*1): What is the derivative of y 3z²+1

A:

Q: The differential equation of the family of curves orthogonal to x² + y? = C² is

A: Solve the above questions.

Q: Find the approximate height of the curve y = x3 – 2x2 + 7 at the point where x = 2.98. (SOLVE BY…

A:

Q: 13. Find the second derivative y “ of y = 5z2 +sinrcosz

A:

Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: of the differential equati

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Q: y = e* (In x)² %3D

A: Here we want to find the first derivative of the given function. For finding the derivative we use…

Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

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Q: In(x), Sn (4t + et) dt. Find the derivative of F(x). 3.

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Q: Find the point on the curve y = x3 – 3x for which the tangent line is parallel to the x-axis.

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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: What is the value of the first order derivative of the closed function given as…

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Q: 3x y = .3 х +3x

A:

Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: 5. Find the first order derivative with respect to y of the function U = In/x² + y² + z²

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Q: y = In (5x- 6x • 6), Hthe derivative, y' 2. 1S

A:

Q: 2. What is the equation of the tangent line to the curve y = x? - 2x +1 at point (3,4)? а. у3 2x — 2…

A: The equation of line is y-y1=mx-x1, where m is the slope of the curve.

Q: b) Find derivative of the following: 1. y= 5x° + 2x -x + x* -9x+12 y=1-cos 20+3sine iI. ii. s= xln…

A: The detailed solution is as follows below:

Q: 6. Show that 2y2 dy x² + y2 dx is homogenous equations. Hence, solve the equation.

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Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

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Q: 1- Solve the second derivative forf(x, y,z) = e sinay3) əx2

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Q: What is the approximate value of the first derivative of S(x)=-0.1x*-0. 15x-0.5x-0.25x-1. 2 at…

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Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: 4. Find the first derivative of y = 170x tan (20x)+- In(49 – x 5e7-8cos

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Q: Obtain the differential equation of the family of lines passing through (-1.1).

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Q: 3. Obtain the differential equation of the family of straight lines passing through (0.1). SAdd File

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Q: 5. Find the first derivative of y = (2x³ – 1)5 Vx² – 1

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: Find the equation of the line tangent to y = x2 – 3x – 5 and parallel to the line y = 3x – 2.…

A: Explanation of the answer is as follows

Q: x3+6x-2 dx x4+6x2

A:

Q: 2. The derivative of y = (1 + Vx3) (x3 -2 V) is y'=-3x4-3xs-2z2-11xº.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 3 +Ve³ .2 3x e: f(x) =

A:

Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: From the differential equation by elimanating arbitary constants  y=ax3+bx2

A:

Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: 8. Find the derivative of y = In(3t) dt.

A: To Determine: Find the derivative of given integral:…

Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.