2. Show that fxy and fyx are equal for the function f(x, y) = x²y sin(x + y). %3D xy. cos(xry) + 2xy sin (xry) (x+y) y= x'g cos (xry) + x² sir COS %3D

Q: Consider the function y = (1x + 1)x. (a) Differentiate y by the product rule. (b) First, multiply…

A: (a) Differentiate y by the product rule as follows: dydx=ddxx+1x      =ddxx+1x+ddxxx+1      =1·…

Q: the function f(x) was replaced by f(x-2)+1 resulting in g(x). describe the transformation of f

A: We have to find the transformation

Q: What is the inverse of the function f(x) = In (5x + 1) - 7?

A: Given query is to find the inverse of the function f(x).

Q: Identify the end behavior of the function f(x)=-x° + 3x² +x² – 3x to the left and to the right…

A: Given, f(x)= -x⁶+3x²+x²-3x

Q: what is the inverse of the linear function  f (x)2/3 x - 6?

A: Solution: Consider the given linear function is: f(x) = 23x - 6 A function g is the inverse of f if…

Q: [3] If f(2x+3)=4x²-2x+3, find f(x)

A: Firstly put t=2x +3 and find f(t) ,After that replace 't' as 'x'.

Q: What is the y-intercept of y = Vx+1+3? Explain using transformations of this function from the…

A: Given that  y=√(x+1) +3 To find the Y-intercept of y

Q: Given the functions f(x) = 4x + 10 and g(x) = √√x + 2, what is the value of a for which f(g(a)) = 10…

A:

Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: Using the currency cross rate table, convert C$212.00 to Japanese yen. Japanese British Australian…

A: We can find the answer as below.

Q: Let ƒ(x) = (2x + 3)(3x2). Use the product rule to find ƒ′(x).

A: Consider the formula for product rule. Product rule: fg'=f'⋅g+f⋅g'

Q: Find g × f when f(x)=1/3x-3 and g(x)=3x+1

A: Given: The functions  and ,  defined as, Aim: To determine the product of two functions, i.e.,…

Q: 2v Use the Quotient Rule to differentiate the function f(v)= +2

A:

Q: qhat is the inverse of f(x) = 7x/x+3

A:

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2. (f + g)(-8) (f + g)(-8) = Need Help? Read…

A: f(x) = x+3  g(x) = x2 - 2

Q: 9. |(x – 1)² -

A: