a) ƒ' (x) = = 1 for all 0 ≤ x ≤ 4. b) f'(x) > 0 for all 0 ≤ x ≤ 4. c) f' (3) = 0 d) f' (3) = 1 > > >

Q: Let ƒ'(x) = ƒ'(2) = f(x) = (x³ + 4x + 8) ²

A: f(x)=(x3+4x+8)2 d dx(xn)=nxn-1d dx(constant)=0

Q: f(x) = ln[x(x + 6) 5 (x²+2)4] f'(x) =

A:

Q: Express the function in the form   f ° g  ° h

A: We will use the most inner function=h(x), then next one=g(x), and the outer one=f(x)

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

A:

Q: Let f'(x)= = f(x) = x² tan ¹(7x)

A:

Q: If f(x) = 6(a-3/+7), find f'(2). Find f'(5).

A:

Q: Find f such that f'(x) = f(x) = √x¹ f(1) = 13. ***

A:

Q: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

A:

Q: Find (f-')'(@). 3 f(x) = x + x < 0, a = - 4 (f-1)'( – 4) = Preview

A: The given function is f(x)=x+3x and a=-4

Q: If f(x) = 3 + 7 22 Find f'(5). -0.36 Find f''(x). Find f''(5). 7 X + 2 x2 find f'(x).

A:

Q: Pls help ASAP

A: The given information:To Sketch: The graph of the function with above information.

Q: (b) Suppose f'(x) > 1 for all x > 0, and f(0) = 0. Show that f(x) > x for all x> 0.

A: We will be using mean value theorem

Q: In each part, list the points (A–F) on the graph of f whose x-coordinates satisfy the given…

A: Given data: The given graph is shown. Point A on the graph has zero slope and maximum value of the…

Q: Find all the intervals of x such that f'(x)>0 f(x)= (1) / (x2-9)

A: Given function is  f(x)=1(x2-9)                   ............(1) Differentiate with respect to x,…

Q: Sketch the graph of a function that satisfies all the given conditions.

A: We have to sketch a graph satisfying the given condition.

Q: Given f'(x) = 4x³ + 12x², determine the interval(s) on which f is both increasing and concave up,…

A:

Q: 12) Let f(0) = -5, g(0) = 6, f'(0) = g(0) = -1. If h(x) = f(x) g(x), find h'(0). 13) With f, g as in…

A: To find h '(0) for the defined function h(x).

Q: Sketch the graph of the arbitrary function f such that

A: For all values of x &lt; 4, the derivative of the function fx is greater than zero or positive. This…

Q: (4) Consider f(x) = x5 + xª + 1. (b) On what intervals is f(x) one to one? (c) Find a formula for…

A: (d) Consider a given function: fx=x5+x4+1 Let gx=f-1x. Find g'1.0488 when domain of f is restricted…

Q: Sketch the graph of a function that satisfies all of the given conditions. f'(0) f'(x) > 0 if x 4,…

A:

Q: Pls help ASAP

A: To Sketch: A graph of a function with the given information:f'(x)&gt;0 when x&lt;-2, and when…

Q: f(x) glx) f'lx) g'ix) 1 3 2 4. 6. 2 5 7 3 7 2 7

A:

Q: if f' is continuous, f(3)=0, and f'(3)=7, evaluate lim x to 0 f(3+5x) + f(3+6x)/x

A:

Q: Suppose f'(x) < 2 for all x 2 2, and f (2) = 7. Show that f(4) < 11.

A: Given that f'x &lt;2 for all x≥2 and f2=7.We need to show that f4&lt;11.

Q: 19) Find f' if f(x)= sec² x 83√x

A:

Q: Let f'(x) = ƒ(x) = (8x² − 8)^(2x² — 6) ¹²

A: