TRUE or FALSE. Type in "1" if TRUE, type in "2" if otherwise. | f(x)dæ = F(x) implies that d [F(x)] = f(x). %3D %3D dx

Q: Which of the following equation defines a function? O y = 4 – 2 O 3x2 + 1y? = 16 O 6x + ly? = -–1 O…

A:

Q: Differentiate the following function

A: The given equation is

Q: 8. Find f°(x) given f(x) = x² X - 3

A:

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 1

A: In this question we have to determine which is f, f' and f''.

Q: Q3:Discuss the behavior of the following function as x0:

A: We have to discuss the behavior of the following function as x tends to 0. So, f(x) = 0 if x <_…

Q: Consider the following function: Step 2 of 3: Find f Answer f(x, y) = (4x + 3y)

A: I have stated the used formula and the property in the solution

Q: f(x) = 1– 2x +xs

A: Given, function f(x)=1-2x+1/3x^5 By using the formula of differentiation d/dx(x^n)=nx^(n-1)

Q: tind the Iinverse ) f(x) =5x-8 ® g@) = 2x-4 %3D こ gl6) = Vx+1+2 %3D

A:

Q: Assume the equations for A , B , C, and D can all be written in the form y = ab'.Which function has…

A: The exponential function: y=abt is increasing, if a>1 and is decreasing, if 0<a<1.

Q: 1 dx Vx2 -9

A:

Q: Which function has a domain of x2 4? A. y= Vx+ 4 C. y = Vx+ 4 B. y= Vx- 4 D. y= Vx- 4

A: Domain of the function

Q: Find the domain and range of  W=1/x+y

A:

Q: Differentiate the following function. f(x) = |x+ x+ -le 6x d 5 X+ 6x dx

A:

Q: Q3/ Determine whether the following functions are harmonic or not. 1. 3xy + 5xy - 2y 2. 3x²y + 2x -…

A:

Q: . Determine if y is a function of x in x = y? + 5.

A: Given equation - x = y2+5Let's solve for y =- y2 = x-5y = x-5       ........(1)

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: y =-2(x– 2)(x– 5) %3D

A: To convert in standard form

Q: 18. f(x) Vx-2

A:

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.