If f(4) = 9 and f'(x) > 2 for 4 < x< 6, how small can f(6) possibly be? f(6) >

Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: (2x + 1)3 (1- 4x)2' find f'(x) and fully simplify. If f (x) =

A: fx=2x+131-4x2f'x=ddx2x+131-4x2

Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

A:

Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: if f(x)={ -3x       for x -1  find f(-2)  a. -6 b.9 c.6  d.-1 e.0

A:

Q: If ƒ(x) = (3x² − 8) (4x + 6), find: - ƒ'(x) = ƒ'(2) =

A:

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

A:

Q: If f(2) = 5 and f'(x) ≥ 2 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ► 20 X

A:

Q: Given f (x) find f^−1 (x) for each of the following:  f (x) = 2x−3/7+x

A: Given function is:

Q: Given h(r) = 1/r+8, find the following.  h(x^2)+1

A: We have to solve the given questions

Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

A: Given fx=2x+3    gx=1x

Q: If f(28) = 16 and f is one-to-one, what is f'(16)? f (16) =

A: Given that   f(28)=16 and f is one-to-one.

Q: Find (f-1)'(9) if f(x)=x3+x-1

A: To detemine the value of the derivative of the inverse function at the given point

Q: Consider the following. و + شہری ۔ شہر = (f(x (a) Find F(x) and f(x). f(x) = F(x) = (b) Graph Rx),…

A: Given:To find:f'(x) and f''(x) and monotone intervals

Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2

Q: If f(x) = x²/(1 + x), find f "(2). f "(2) = L

A:

Q: Find f. f"(x)  =20x 3    +12 x2    + 4  ,    f(0) =8,  f(1)  =5

A: Given, f''x=20x3+12x2+4f0=8, f1=5