Find the following using the table below. 2 3 4 1 2 2 4 1 1 3 X 1 f(x) 3 4 ƒ'(x) 1 3 34 g(x) 2 g'(x) 4 2 h'(4) if h(x) = f(g(x))

Q: If ƒ(x) ƒ'(x) = - 53 x - 7' what's f'(x)?

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Q: Below is the graph of f"(x). For what values of x is f(x) concave up? 1S (x) + + -8 -7 -6 -4 -3 -2…

A: Topic:- Functions

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: Given the following information, evaluate f'(5) f(x) = (g(x))^3 g(5) = -3 and g'(5) = 6

A: f(x)=(g(x))3 To find: f'(5)

Q: Problem #5 Find dy/dx and d'y/dx², for the following parametric equations. x = 2+t², y=t² +t³ 3

A: We have to find dydx and d2ydx2 for the following parametric equations - x = 2 + t2y = t2 + t3

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

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Q: If f(2)=9 and f'(2)=2, estimate f(1.9).

A:

Q: Use the table below to find h'(-1) for h (x) = f (g (x)). I()9() lO() 1/2 0. -2 -3 1. -1 -1 -2 -2 -2…

A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: If f(x) = 5x¹(²), find ƒ'(6) to 3 decimal places.

A: The given function,   f(x)=5xlnx

Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: 5. Find (f-1)'(c) for the following functions: (a) f(x) = 5x³ + 4x³, c = 9. (b) f(x) = 3t – , c =…

A: We will find out the required values.

Q: If f(x) = 6 + 5x > Next Question 5x², find f'(-1).

A: We have to find the value of f'(-1).

Q: Let f(x) and g(x) be functions whose graphs are shown below. Which of the following statements…

A: We are asked about the derivative of the function h given a graph of the functions f and g. Note…

Q: 1. Differentiate the following f(x) = (2x) (e4x)

A: f(x)= 2xe4x Find f'(x)

Q: ý (Profit in millons of dollars) 10 6. 2 t years 2000 2005 2010 2015 2020

A: We know derivative of a function represents the rate of change of that function

Q: 1. Find f"(r) for the following functions. 1 (a) f(r) = %3D f"(x) = %3D (b) f(r) = r³/2 – 5x %3D…

A: Given:  a) fx=1x2             =x-2       f'(x)=ddxx-2   Apply power rule xn'=n·xn-1…

Q: From the graph of f(x), determine the graph of f'(x). -6 -5 -4 -3 -2 -1 y 6 10. d 3 2 1 O -1 V 2 3 5…

A: Given graph for f

Q: 20. Express the function F(x) = 1/x + J three functions. X as a composition of

A:

Q: Iff(x) = 3 xe", find f'(0)

A: We find f'(x) using product rule

Q: The daily profit function in dollars for a food truck given by the function P(x)=7(x^2-600)^1/3-26…

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Q: f(5) = 4 f'(5) = 2 g(5) = 1 g(5) = 4

A:

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: . Find (f-1)'(c) for the following functions: (a) f(x) = 5x5 + 4x³, c = 9. (b) f(x) = 3t – , c = -2.

A: NOTE: Refresh your page if you can't see any equations. . the given value of c is c=9 so take…

Q: Find each of the following. In some cases, you may need to rewrite the function firs (a) F'(x) for…

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Q: Consider the following. f(x)=x²-6x² + 7

A: