1. f(x)= x³ - 2 -2 4+ -2. 0 -2- +4 X

Q: If f(x)=/2x-3. Find f" (x). Also find the domain and range of f"(x)

A: Solution:Given      f(x)=2x-35To find f-1(x) Also find the domain and range of  f-1(x)

Q: The first derivative of f(x) 10x³ - 3 (5x4 - 6x)³ C. (3-10x³)√√(5x4 — 6x)³ A. = 5x² - 6x will be B.…

A: f(x)=15x4-6xwe know  (i) d dx(xn)=nxn-1

Q: f(x)=-6x+3 find f(1/2)

A: Given: fx=-6x+3 To find: f12

Q: Find f′(9) if f(x)=7x2 +5x+5/ √x

A: To find f'(9) , initially we have to find f'(x) from the given f(x) then substitute x=9 in the…

Q: f(x) = xlog4(22x)

A: To simplify the given logarithmic function.

Q: Find the value of ( x + y ) / (x - y ) if x = 6 and y = - 2.

A: The expression: x+yx-y

Q: Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

A: f(x)=−1/4x^2

Q: Which of the following statements is incorrect? sin x { A} lim = 1 {C} lim k = k; k is a constant 1…

A:

Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

A:

Q: If f(x) = 5x - 2x³-x²+3x-1, then %3D | f(0) = %3D Cyマ/10) %3D %3D

A: According to power rule of differentiation .

Q: d) How many different three letter sequences can be formed using the letters in the word OPTIC.…

A: Topic- permutations and combinations

Q: What happens to the values of f(x)=(x2-2x-3)/(x2-3x) as x ->0 ?

A:

Q: f(x) = 9x -x? X6=

A: Draw the graph of the function f(x)=9x-x2.   The graph signifies that the curve has  horizontal…

Q: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: y = (c1 + c2x)ex + c3e2x

A:

Q: 2sin(2x)=√3

A:

Q: If f (x ) = 2r -1/2 then f(x) equals ?

A: The solution is given below.

Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

A:

Q: f(x) = x4 + x? In order to check even, odd, neither, I need to check to see what f( – x) simplifies…

A: If we have to check either a given function f(x) is odd or even we replace x in the function by (-x)…

Q: Let ​f(x)=−4x+6. find f(-x)

A:

Q: Let f(x) = 9x +3 f f '(x) =

A: Given a function. We need to find its inverse.

Q: Find the value of x

A:

Q: given f(x)=20x/x^2-6, for which values is f(x) = -4

A: Dividing by 4 on both sides