3. Differentiate with respect to the corresponding independent variable for each of the following func- tions. (a) f(x) = 3x² + 8x - 7 (b) g(x) = 3x2020 + 10x - 2019 (c) V(r) = ³

Q: aximum v al [1, 5] is

A:

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: Compute and completely simplify the difference quotient for  f(x) = √x+6   f(x + h) − f(x) h =

A:

Q: 2. Find the zeros of f(x)=x² -x-12.

A:

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: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

A:

Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

A:

Q: What is the domain of f(x) = √(x – 5) / √x  (√ means “the square root of”)?

A: Given: f(x) = √(x - 5) / √x let's get the numerator:√(x - 5)x-5≥0x≥5let's get the denominator: √x…

Q: Let f(x) = x´ + 6x and g(x) = 5 – x. H() =D (Simplify your answer.)

A:

Q: Find removable discontinuities in f(x)=9x5-3x2+1

A: To remove discontinuity we need to factor numerator and denominator.

Q: Find all the inflection points of f(x) = x4 – 2x3 – 12 – 5x2 - - -

A: The given function f(x)=x4-2x3-12-5x2

Q: Let f(æ) = 4x + 4 and g(x) = 5æ? + 2æ. After simplifying, (f + g)(x) =

A:

Q: Given that f(x) = 4x + 5 and g(x) = x² - 2x - 5, find (gof)(-7). (gof)(-7)= (Simplify your answer.)

A:

Q: The function f(x) =is 1-z2 Is 9+z2

A:

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: . Determine each value for the function f(x) = 2x²-3x + 1.

A:

Q: For what value of x does the function g(x)=-1/3x3 +2x2  convex

A:

Q: For what value of x does the function g(x)= -1/3x3 +2x2 convex

A:

Q: Find functions f and g such that h(x) = f(g(x)), when h(x) = (9x³ – 5x)³ – (9x³ – 5x)² + 11.

A:

Q: 2) Find the domain of the following functions. a) vx + 5+ 17 x 20x+5 b) f(x) = x2-2x-35

A: To find the domain of each of the following functions.