Find the following using the table below. 1 4 2 2 3 1 N|N h' (2) if h(x) = = 4 43 X f(x) f'(x) 3 2 1 4 g(x) 2 3 4 1 g'(x) 2 1 4 3 h'(2) if h(x) = f(x) · g(x) f(x) g(x) h'(2) if h(x) = f(g(x))

Q: 8. Find f'(x) for the function f (x) = (5x² + 3)4

A: ddxfxn=nfxn-1f'x

Q: Consider the following table x f(x) g(x) f'(x) g'(x) 5 0 2 0 2 11 -2 3 2 4 4 1 -1 33 -3 2 3 What is…

A:

Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) g'(x) 3 2 4 1 4 1 4 3 2 3 1 4 2 if…

A:

Q: 10. (a) Given that f(x) = x² + 2 and g(x) find X - 3' f(8(x)) and state its domain. What is f(8(5))?…

A: 10). (a) Given function are fx=x2+2 and gx=2x-3. To find fgx and state its domain and also to find…

Q: Find the following using the table below. 1 `f(x) `f'(x) g(x)` g'(x) 2 3. 1 4 4 3 2 1 13 `h'(2)' if…

A: see below the calculations and answer

Q: Find the following using the table below. 1 22 X 3 f(x) f'(x) 4 2 g(x) 1 g'(x) 4 h'(3) if h(x) = =…

A: From given table  f3=4 , f'3=1 g3=3 , g'3=1 hx=fx·gx

Q: Consider the following table xf(x)g(x)f'(x)g'(x) 02 5 0 2 11 -2 3 24 4 1 -1 33 -3 2 3 What is h'(2)…

A:

Q: 9. From "First Principles" show that if f(x)= == 2 x²-3' then f'(x) = - 2x (x² - 3)²

A:

Q: Find the following using the table below. 3 4 f(x) f'(x) g(x) 3 4 1 4 3 1 4 1 3 4 E (2),6 if h(x) =…

A:

Q: 1 3 4 f(x) f'(x) 3 g(x) 1 4 4 1 1 4 3 4 1 (2),6 h'(2) if h(x) = f(x)•g(x) f(x) h'(2) if h(x) = g(x)…

A:

Q: Suppose that f(x) 2 4x Find f'(x).

A: use quotient rule for differentiation

Q: Find a function f(x) such that f'(x) = 9x² +2 and f(0) = 1 f(x) =

A:

Q: Find the following using the table below. 1 2 3 4 f(x)| 3 2 4 1 f'(x) | 1 4 3 2 9(x) 3 2 1 4 g'(x) |…

A: Solution) h ( x ) = f ( g( x ) ) h ' ( x ) = f ' ( g ( x ) ) × g ' ( x )  h ' ( 2 ) = f ' ( g ( 2 )…

Q: Find the following using the table below. 1 2 3 4 f(x) f' (x) g(æ) 1 3 4 2 1 2 4 3 2 4 1 2 3 4 (x),…

A: We have to use application of derivative here.

Q: 4 given that g(2) = 1 and g'(2) = – 5, what is F'(2)? If F(x) = %3D g(x)' %3D

A: Given, F(x)=4g(x), g(2)=1 and g'(2)=-5We need to find F'(2)

Q: If f and g are functions that satisfy f'(2) = -3 and g'(2) = -1, find h'(2) for h(x) = -5f(x) +…

A:

Q: 6. Let f(x) = -5x¹ and g(x) = 2x + x. If h is the function defined by h(x) = f(g(x)), which of the…

A:

Q: 2 9. If f(x) =-(x- 5), determine the following %3D 3 f(17)- f(8) а) 17-8 (12)- f (4) b) 12 - 4

A: The given function    f(x)=23x-5

Q: Find the following using the table below. 1 2 3 4 2 1 3 f(x) f'(x) g(1) 4 1 2 3 4 3 4 2 1 1 2 >|…

A:

Q: 1. If f(x) = 5x4 - 6x² + 4x - 2 find f'(x) and f'(2).

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: If f and g are functions that satisfy f'(2) = 5 and g'(2) = −2, find h'(2) for h(x) = 2f(x) - g(x) +…

A:

Q: Find the following using the table below. x 1234 f(x) 13 4 2 f'(x) 1234 g(x) 3 12 4 g'(x) 1 2 4 3…

A:

Q: 7 If f(x) = 2 + find f'(x). x2 - Find f'(4).

A: ddxxn = nxn-1

Q: Find F'(0) if F'(x)= (1+x) (2+ x)² (3 + x)³ (4 + x)+.

A: Solve the given problem.

Q: If we let f(x) = 1-4x/1+4x What are.... f’(5) = f”(5) = f”’(5) =

A: we have to find derivative at that point

Q: Find the following using the table below. 1 3 4 f(x) f' (x) g(x) 4 2 3 4 1 3 2 2 3 1 (x),6 3 2 4 1…

A:

Q: 2. Suppose that f(x) is an unknown function, but we know that g(x) = (x² + 5)(f(x))². (a) Find…

A: Using product rule of derivatives.

Q: Find the following using the table below. 1 2 3 4 f(x) f'(2) g(x) 2 4 1 3 1 4 3 2 4 3 1 1 3 4 (x),6…

A: Given,

Q: Find f'(2) for f(x) 2 (x-)-

A: Given; f(x)=(x-1/x)^2 We have to find f'(2)=?

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

A: