Find the derivative of y with respect to x, t, or 0, as appropriate. y 2xe X- 2e X O 2xeX O 2xeX + 4ex 2ex 2x

Q: Calculate the derivative of y with respect to r. xe = 5xy+3y Answer(s) submitted:

A: Given:         xey=5xy+3y3   Differentiating on both sides we get         ddxxey=ddx5xy+3y3…

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists.   h(x) =…

A:

Q: Find the derivatives of the functions in Exercise y = (1 + t^2) cot-1 2t

A: The given function is y=1+t2cot-12t.

Q: у?x3 — 7х %3D ysin(x + у)

A: The given equation is y2x3 - 7x = y sin(x+y) f(x,y) = y2x3 - 7x - y. sin(x+y)

Q: find fxx(x,y) and fxy(x,y) derivatives for the following function z=f(x,y)= e^x^2 +y^2

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Q: Find the derivative of the function

A: Given  that y = ( ax+ √(x2+y2)) -2 Method used- Chain rule- The chain rule states that the…

Q: (A) Find the derivative of t² – 1 y = t2 + 1

A: The identity used is d(uv)dt=v *dudt-u*dvdtv2 where, u and v are the functions of t.

Q: Find the derivative of the following functions. 1. y={x-y°+1 2. y=e** secx y%3e'

A: To find The derivatives of the given function.

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

A:

Q: Find the derivative of the function. F(t) = e-2tcos(2t) F'(t) =

A: Given function is We will find F'(t) by using chain rule of differentiation as follows. .

Q: Find the derivative of the function y = xe2 %3| Select the correct answer below: O e2r (2a + 1) O…

A:

Q: Find the derivatives of the following functions; (a) f(x) = In(2r² +1) (b) g(x) = x² In 2r (c) y =…

A: We have to find the derivative of given functions.

Q: Find the derivative of the function. y = x?e* – 2xe* + 4e* y' =

A:

Q: Find the derivative of y with respect to x in the following equation y = 1¹ where u = 1-z O x² O-x²…

A:

Q: xtany + y'secx = = e3y e3y

A: The given equation is x. tany + y2. secx = e3y The function is given by f(x, y) = x. tany + y2. secx…

Q: Let v(t) = (, - 41,3). Compute the derivative of the following function. v(e')

A:

Q: Find the derivative of the function at P, in the direction of u. x- 3y g(x.y) = 2хy +3 Ро(1, - 1),…

A:

Q: Find the derivative of the function.

A: Given function is gt=lntt2. To find the derivative of the function. Solution: Quotient rule of…

Q: find the derivative of the function at P0 in thedirection of v. ƒ(x, y) = 2xy - 3y2, P0(5, 5), v =…

A: The given function is ƒ(x, y) = 2xy - 3y2. Note that fx=2y    and  fy=2x-6y. at P0=5,5,  fx=10   and…

Q: Find the derivative of the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists .

A:

Q: Find the derivative of the function. F(t) = e7tsin(2t)

A:

Q: Find the derivatives of the following functions: Inx i) y = sin3x? ii) y = e2*cosx iii) y = 3r+5

A: i)y= sin 3x2y' =ddx sin 3x2y' =cos 3x2  ddx(3x2)y'=cos 3x2 (3)(2x2-1)y'=(6x) cos 3x2

Q: Find the derivatives of the functions s =√t/1 + √t

A: The function is s=t1+t.   Differentiate the function with respect to t.…

Q: Find the derivative of y with respect to x in the following functions: y= Ju +2u and u x2-3

A:

Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: Find the derivative of y with respect to x in the following function at (1, 1/3) u? y = u' +1 and u…

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Q: Ax) = Vã Vx = /x хх e

A:

Q: Find the derivative of the function. G(z) = (1 – 3z)2V z? + 1 G'(z) =

A:

Q: Find the derivative of the following functions: 1. y= (2x + 1)(4x – 1)? y = 2. V3x x3/244 x² y = 3.

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: (2) x'+4xy -3 y – 2021 = 0

A:

Q: Use the derivatives table to help you find the derivative of the following function. Given y = In(8x…

A: Given that, y=ln(8x3). Obtain the derivative of the given function.…

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2…

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: Find the derivative of the given function. y=1.75(1-2) y%3D dy II

A:

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = x2…

A: Solution:-  The given function is  g(x)=x2-xwe have to use alternative form of derivative to find…

Q: Find the derivatives of the following: f(x)=e^2x-2e^x+1/e^2x-1   And  y=e^cos(r^2cos^2r)

A: Given ,f(x)  = e2x-2ex+1e2n-1

Q: Find the derivatives of the functions y = (1 + t2) cot-1 2t

A: We have to find the derivatives of the function: y=1+t2 cot-1 2t When two functions are in product…

Q: Find the derivative of the function at P, in the direction of A. 2 f(x.y) = 4xy- 4y, Po(6,8), A= –…

A:

Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (3x' – 2)' u? a) y=…

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Q: (iv) y = (In x)ª

A:

Q: (A) Find the derivative of t2 – 1 y = t2 +1

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

Q: Find the derivative of the functions 1. y = Vxcs c(x + 1)3

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: x°y- xy? +x² + y² = 0 %3D

A: Use d(UV) = VdU+ UdV

Q: Find the derivative of the function at P, in the direction of A. f(x,y) = 4xy + 2y, Po(4, - 4), A =…

A: Derivative of a function f(x,y)  at (x0,y0) in the direction of a unit vector u^=ai + bj is ,…

Q: Find the second derivative of the function. f(t) = t?e-5t f"(t)

A:

Q: Calculate the second derivative of the function y = f (x) defined by the equation x³+ y³ +3xy+ 3y² +…

A: Explanation:

Q: Find the derivative of the given function. 5x y= In 6+x dy xp %3D

A: SOLUTION-

Q: Find the derivative of y with respect to z. y=2 (29)

A: Given : y = 2z9

Q: Get the first order derivative of the function x? – 3x5y* + 2x = 5. y 2xy-15x*y*+6x² 5-x²+15x=y* a.…

A:

Q: Use implicit differentiation to find the derivative y' of the following: y²+2ye2x у?е2x + хуз —…

A: 6. 2yy'e2x+2y2e2x+y3+3xy2y'=0y'(2ye2x+3xy2)=-2y2e2x-y3y'=-y(2ye2x+y2)y(2e2x+3xy)…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.