of af For the function f(x.y)= 7x-9y- 3, find and dy

Q: Find df/dx and df/dy for the function.  f (x, y) = 2x2ey

A: given:  f (x, y) = 2x2ey

Q: 1+х f[X_, Y_] := 2 у - 1-x (1+) (у-1)2

A: We will use basic knowledge of the functions of several variable theory to answer this question.  We…

Q: of and дх of Find for the following function. dy f(x.y) = (x' - 4) (8y + 7) of dx

A: To find ∂f∂x and ∂f∂y for the following function.fx, y=x5-48y+7

Q: Find the inflection point(s) (x,y) to the function f (x) = x²+x+1 %3D x2

A:

Q: Find dy for the given values of x and ∆x.  y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

A:

Q: given f(x,y)=ex^3 . y^8-x8y3 ,show that fxy=fyx

A:

Q: Let f(x) = e3x-5 a. Find an expression for dy. b. Estimate dy for x = 2 and dx 0.04

A: To find an expression for dy Also to find the value of dy at x=2 and dx=0.04

Q: Find the antiderivative F(x) of f(x)=x(2x+7), given F(4)=5

A: Given:The function is f(x) = x(2x+7), F(4) = 5.

Q: For the function y = f(x) = x² – 3x − 4, x ≥ 1.5, find df dy y=2

A:

Q: Determine the value of f(x)dx given that f(x)dx = 3 and f(x)dx = 8. %3D %3D

A: According to the property of definite integral, the limits of any definite integral of a function…

Q: For the function f(x,y) = Əf Əx Əf 11 11 4 Əf af find and 2x + 3y' ax dy

A: Solved below

Q: For the function y = f(x) = x² − x + 5, x ≥ 0.5, find (ƒ˜¹)'(7) = dy y=7

A:

Q: If f(x, y) = e2ay then the second derivative f ow is %3D a. 4x2e2a b. 4x e2y C. 4y?e2ay d. 4ye2ay

A: Given f(x, y)=e2xy

Q: Differentiate the expression with respect to x, assuming that y = f (x). ey/x

A: Given, y=eyx

Q: Given the function: f(x, y) = y°e -5x a. Find fyy(x, y) b. Find fyyæz (0, 1)

A: a)f(x,y)=y3e-5xPartial differetiate w.r.t yfy(x,y)=3y2e-5xPartial differetiate w.r.t…

Q: 1 df For the function y = f(x) = x - 4x – 3, x > 2, find dy 1 (f ')'(– 1) =

A: f(f-1(x)) = x is one of important property  of functions Let y =f-1(x) f(y) =x Differentiate both…

Q: Find the position at t= I 4 6 f (x) dx = -S 16)Evaluate (3f(x)+2) dx given that -3 and f(x)dx=7

A:

Q: Q2: Find ôf ôf - for the function f(x, y, z) = x²y+ y° + xz² and Əx 'dy

A: We will find out the required values.

Q: For the linear function y = f(x) = 5x+8:  Find df^−1/dy at y = f(10). (f^−1)'(f(10))=

A: Giveny = f(x) = 5x+8Replace x=f-1(y)Nowf(f-1(y))=5f-1(y)+8y-8=5f-1(y)f-1(y)=y-85

Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. The chain…

Q: , v(0) = and Find the position function, F(1), given that F(0) = a(t) = .

A: We have to find position vector

Q: Find frx, fæy and firy for the function f(x, y) = (1+x + g)e*

A: Given: - The function is, f(x,y)=(1+x+y)e-xy To find: - The value of fxx,fxy and fyy for the given…

Q: Calculate the LOS of y = x² LOS is x = a is b is c is

A: Given equation is in the form of ax^2+bx+c=y Here a=1 b=0 C=0.

Q: For y=x-3x+7, find dy, given x= 1 and Ax= 0.3.

A:

Q: Find relative extrema for f(x,y)=x^3 - 6xy + 8y^(3) - 2.

A: Question- Find relative extrema for  f(x,y)=x^3 - 6xy + 8y^(3) - 2.

Q: Q2: Find for the following functions: - dx 1) y = Vx + 8z – 2x X, -

A: Explanation and solutions is given below....

Q: Q: Find the fx and fy as functions if f(x, y): 2ysin²(x + 5xy) y+ cosx cos2(y2 + 2x²)

A:

Q: For the function y = f(x) - 4x 10: = | df at x = – 1. dx - 1. a. Find f'(– 1) =

A: SOLUTION-

Q: dy Find for the following functions: dx 2 y= x³+ +x -3 -3 to

A:

Q: Q:: Find dy for the following functions: - dx 5x²y5 - 3x = x* + 3y?

A: Given function is : We have to differentiate it with respect to x.

Q: dy Find for the following functions dx (i) y = (3x³ + 2x + 8)³ (ii) y = ecos(2x²+3x–2) %3D

A: ddxex=exddxxn=nxn-1

Q: Find y in terms of x given that (1+ x) = x²y and that y = 2 when x = 1. dx

A: The given differential equation can be simplified as shown below: (1+x)dydx=x2y     ⇒…

Q: dy Q1: - Find of the following functions dx y = (x +) (x –+ 1 a. %3D - x2+3 b. y = %3D (x-1)3+(x+1)3

A:

Q: Given the function(x) = x3+ 1, find the ∆y, dy, ∆y-dy

A: f(x)=x3+1

Q: Q2: Find for (x+y) +(x- y) x +y* %3D dx

A: Derivative wrt x

Q: dz dz For the function z= f(x.y)= - 2x + 5y? + xy, find f, (5,5), and f, (5,5). dx' dy

A:

Q: Let F(x) be an antiderivative of f(x), with F(1) = 20 and * f (x)dx = -7. What is F(4)?

A:

Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

A:

Q: Let f(x, y) = /T²(1 – y²). Find fr (0, 1).

A:

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = 3 / (x-1) ^ 2

A: Given that f(x)=3(x-1)2 Take the derivative with respect to x, dfdx=-6(x-1)3df=-6dx(x-1)3

Q: For the function f(x,y) = Əf dx Əf 11 11 4 Əf af find and 2x + 3y' ax dy

A:

Q: Find dy for the given values of x and ∆x. ; y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

A: Given fx≡y=x3-2x2+3 x=1 and dx=∆x=-0.1

Q: For the function y=f(x)= x2+2x+4 x≥ −1 find df-1/dy y=12 (f-1)'(12)

A:

Q: For y=f(x)=x^3-9x+7, find dy and delta y, given x=4 and delta x=-0.1

A:

Q: If f(x) dx = 10 and F(x) dx = –7, find ſ* f(x) dxr. %3D relugte:

A:

Q: -1 df For the function Y = f(x) = x² + 2x + 4, x > – 1, find dy y=7 (f-1)'(7) =

A:

Q: For the function f(x,y) = e 6xy, find f, and f,. %3D fy

A:

Q: 0If z-x"f), show that xZ+JZy=mZ.

A:

Q: 3. Given the function y = x/3f (x) – 1. If f(2) = and dy %3D 11 for x = 2, determine %D f'(2).

A: Differentiation at given value