Question

What is the partial derivative with respect to x of the function ?=4?+6?=4x^3+6y  evaluated at x=2 and...

What is the partial derivative with respect to x of the function ?=4?+6?=4x^3+6y  evaluated at x=2 and y=2?

a. 38

b. 32

c. 54

d. 48

Business   Economics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution: (d) 48

Given,

?= 4x3 + 6y

x= 2 and y = 2

The Partial derivative of U with respect to x is written as follows:

Therefore, at x= 2 and y=2, the partial derivative of U with respect to x is

In order to calculate To calculate ∂U/∂x, we simply view yy as being a fixed number and calculate the ordinary derivative with respect to x, we simply view y as a fixed number and calculate the ordinary derivative with respect to x and for ∂U/∂y, we assume x to be a constant value.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let f(x,y) be a function of x and y. The partial derivative of f(x,y) with respect...
Let f(x,y) be a function of x and y. The partial derivative of f(x,y) with respect to y is equivalent to the directional derivative of f(x,y) in the direction of the unit vector Select one: a. 〈0,1〉 b. 〈1,0〉 c. 〈1,1,1〉 d. 〈0,5〉
1) Differentiate the function y=(4x-4)3(2-x5)3 2) Differentiate the function y=(x+5/x-1)8 3) Find the indicated derivative y=((2t-4)8/t-8)
1) Differentiate the function y=(4x-4)3(2-x5)3 2) Differentiate the function y=(x+5/x-1)8 3) Find the indicated derivative y=((2t-4)8/t-8)
part 1) Find the partial derivatives of the function f(x,y)=xsin(7x^6y): fx(x,y)= fy(x,y)= part 2) Find the...
part 1) Find the partial derivatives of the function f(x,y)=xsin(7x^6y): fx(x,y)= fy(x,y)= part 2) Find the partial derivatives of the function f(x,y)=x^6y^6/x^2+y^2 fx(x,y)= fy(x,y)= part 3) Find all first- and second-order partial derivatives of the function f(x,y)=2x^2y^2−2x^2+5y fx(x,y)= fy(x,y)= fxx(x,y)= fxy(x,y)= fyy(x,y)= part 4) Find all first- and second-order partial derivatives of the function f(x,y)=9ye^(3x) fx(x,y)= fy(x,y)= fxx(x,y)= fxy(x,y)= fyy(x,y)= part 5) For the function given below, find the numbers (x,y) such that fx(x,y)=0 and fy(x,y)=0 f(x,y)=6x^2+23y^2+23xy+4x−2 Answer: x= and...
The first-order derivative of a function of the form y=f(x) evaluated at x=2 is: a. The...
The first-order derivative of a function of the form y=f(x) evaluated at x=2 is: a. The rate of change [Delta_y/Delta_x], where Delta_x=3-2 and Delta_y=f(3)-f(2). b. The slope of the line that is tangent to y=f(x) at the point (2,f(2)) in the (x,y) Cartesian space. c. The slope of the line that is tangent to y=f’(x) at the point (2,f’(2)) in the (x,y’) Cartesian space. d. None of the above.
1) Differentiate the function y= 1/ (9x-8)6 2) Find the derivative of dy/dx of the given...
1) Differentiate the function y= 1/ (9x-8)6 2) Find the derivative of dy/dx of the given function y= x3(2x-9)7 3) Differentiate the function y=(4x-4)2(2-x5)2 4) Differentiate the given function y=(x+4/x-9)8 5) Find the indicated derivative d/dt ((4t-8)5/t+6)
1. Let f(x)=−x^2+13x+4 a.Find the derivative f '(x) b. Find f '(−3) 2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate...
1. Let f(x)=−x^2+13x+4 a.Find the derivative f '(x) b. Find f '(−3) 2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative....
find the derivative of the function f(x)=(4x-3)^5(2x^2+5x-8)^2
find the derivative of the function f(x)=(4x-3)^5(2x^2+5x-8)^2
Question 1 all parts a)Compute the derivative dy/dx for y = 5 sqrt (8pi)+ x^6/2 +...
Question 1 all parts a)Compute the derivative dy/dx for y = 5 sqrt (8pi)+ x^6/2 + 26e^x. b)Compute p(y)' of the function p(y)=4y-5/6y+4 c)write the equation of the tangent line to the graph y=1+9 ln x at the point that x=1 d)determine the slope of the tangent line to the curve 2x^3+y^3+2xy=13 at the point (1,2) e)Compute the derivative dw/dz of the function w = (37 + z sin z)^2
The function f ( x , y ) = x 3 + 27 x y 2...
The function f ( x , y ) = x 3 + 27 x y 2 − 27 x has partial derivatives given by f x = 3 x 2 + 27 y 2 − 27, f y = 54 x y, f x x = 6 x, f y y = 54 x, f x y = 54 y, and f y x = 54 y, AND has  as a critical point. (You need NOT check this.) Use the second...
f (x, y) =(x ^ 4)-8(x ^ 2) + 3(y ^ 2) - 6y Find the...
f (x, y) =(x ^ 4)-8(x ^ 2) + 3(y ^ 2) - 6y Find the local maximum, local minimum and saddle points of the function. Calculate the values ​​of the function at these points
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT