Find the derivative of the function at the given point in the direction of A. f(x.y) = 6x+10y, (9,7), A= 3i- 4j %3D

Q: Find the derivative of the function at P0 in the direction of u. f(x, y) = ln(-9x - 4y), P 0(4,…

A: use gradient for finding the directional derivative.

Q: Find the derivative of the function f(x.y) =x² +xy +y° at the point (7,8) in the direction in which…

A: Introduction: For a multi-valued function, the gradient is the vector that is directed towards the…

Q: Find the derivative of the given function. y = V3x dy dx

A: Given: y=3x4 To find: dydx

Q: Find the derivative of the function.

A: Given, To evaluate derivative

Q: F(2) = [*e*ax e' dt

A: We have to find derivative

Q: Find the derivative of y with respect to x if y = 4Vx(2x + 3). D. E - А. 6(2x+1) 3 B. C. 12V1 + 6 O…

A: Given: y=4x2x+3 ⇒y=8x32+12x12 Since, we know that ddxxn=nxn-1

Q: Find the derivative of y with respect to s. y%3Dsec -1 (2s4 + 7) dy ds

A:

Q: Find the derivative, dy / dx, at the points where x = 1 on the folium                    (x 2 + y 2)…

A: given,       (x 2 + y 2) 2 = (25/4) x y 2 .

Q: What is the derivative of y = V(x? V(a2 – 1) (x + 1) ? -

A:

Q: Find the derivative of the function at P, in the direction of g(x,y) = x - (v² /x)+ /3 sec*(2xy),…

A: Given that  g(x,y)=x-y^2/x+√3arcsecx(2xy) P(1,1) A=12i+5j To find the directional derivative of g at…

Q: Find the derivative of the function. cos a y = sin x (1+ v³)® dv

A:

Q: Find the directions in which the function f(x,y) = x²y + e* sin(y) Increase and decrease most…

A:

Q: Find the derivative of y with respect to x if y = (13x - 26x+26) e -8x y =D %3D

A: Explanation of the answer is as follows

Q: (a) Find the derivative of fix. y. 2) = x-xy-z at P1, 1,0) in the direction of v = 2i- 3j + 6k. (b)…

A: The directional derivative of a function f(x,y,z) at the point (x,y,z) in the direction of vector v…

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: Find the derivative of y with respect to x if y = e¯1X. dy dx II

A:

Q: Find the derivative of y with respect to x. y= sin -3 O A. XV1-x - 3 O B. 1+x - 3x 3 c. 1-x -3 O D.…

A: Given that: y=sin-11x3

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

A: Finding the derivative

Q: Find the derivative of the function P = (4+ ln r)8. 0.8 %3D dP dx

A:

Q: Find the derivative of y with respect to x if y = (12x - 24x + 24) e - 3x. y' =D %3D

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the derivative of the functions below: Rw) = x In(e f'(x) = a) f(x) = In(3x) f'(x) = b).

A:

Q: Obtain the derivative of the function y y = (e*1) (In(2cos(x² – 4x))

A: The given function is: y=e3x+1ln2cosx2-4x

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

A: Explanation:

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

A:

Q: Find the derivative of the function using the definition of derivative. dy Ay lim dx A-0 Ar 1. y=37…

A:

Q: Find the derivative, dy/dx of the following using the chain rule: a) y= . . x+1 d) y= 3x+1" f)…

A:

Q: Find the derivative of y = x°e*. O a. y' = 3e*x2(e*+x) O b. y 3x2(e* +1) O c. y = e*x2(x+ 3) O d. y'…

A:

Q: D-the derivative is y = In In (VW) 1 +

A: The objective of the question is determine the derivative of the given function.

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: Find the derivative of the function. y = a° + cos° z y'(x) =

A:

Q: The total derivative of f(x,y )=3 x+ 3 y-41n y is

A: Given function is fx,y=3x3+3y2-4 ln y find the total derivative  dz=fxx,ydx+fyx,ydy

Q: Find the derivative of the given functions. 1. D,(x²cos 2x) 1 1 2. y=x+zsin 2x 3. f(x)= sin?(5x + 4)

A:

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: Calculate the derivative of y with respect to x, if x^4y+4xy^4 =x+y. dy/dx =

A:

Q: Find the derivative, dy/dx of the following using the chain rule: a) y = 3. 'x+1 b) y = ()³ 5x+1 %3D…

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: (a) Find the derivative of the function y (13 +1)10 %3D dt

A:

Q: Find dy for the given values of x and Ax. 3 y =x° - 6x +8; x = 1; Ax = - 0.1 - 6x + 8; x = 1; Ax = -…

A:

Q: dw B) Use the chain rule to find the derivative dt of w = x2 + y2 with x cost, y = sint.

A:

Q: Find the derivative of the function. - c() (수 1 - e9x 1 + e9x y = cos y' = 18e9z sin + e&= )…

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

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Q: ind the derivative of y with respect to x. y =-cos-16x + 7° 6 6. 1 + (6x + 7)2 81 - (6x + 7)2 O 4.…

A:

Q: Find the derivative of function ei, x#0 1 еx, f (x) = 0. at xo = 0 X = 0

A: Find the derivative of the given function.   Given: fx=e1x, x≠00, x=0

Q: The derivative of the function y = cos VI at z = is equal to 4

A:

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: Find the derivative of the function. y = In) x +6. (a)"* g(x) = log,(x) 9'(x) = (b) y = x5x + 2 (c)

A:

Q: The total derivative of the function f(x, y) =3x'y- xy is

A: Find the total derivative

Q: Find the derivative of the function. V y= In 8v +5 dv

A: NOTE: Refresh your page if you can't see any equations. . take derivative apply chain rule  so…

Q: Find the derivative of y with respect to x. y = sin -1(et) OA. 5e 5t /1- e 10t O B. - 5 e 5t /1- e…

A: We have to find

Q: Find the third derivative of f (z) = T2x +I. fll! (z) =

A: Explanation of the answer is as follows