Find the following using the table below. I 1 2 3 4 f(x) 1 2 4 3 f'(x) 2 1 3 4 g(x) 2 4 3 1 g'(x) 4 1 3 2 h'(3) if h(x) = f(x) · g(x) f(x) g(x) h'(3) if h(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: (a) h(x) = x^√√x² +1 (b) f(x) = (3x² - 2x+1)³(x¹ -2r²- 3)² 4 (c) g(x) = (3-4) ¹ 5x+7

A:

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: Let f(x)=√1+4x f'(3)

A: We know that the derivative of x^n=nx^(n-1)

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: 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 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: If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

A:

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

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: A table of values for f, g, f', and g' is given. f(x) g(x) f '(x) g'(x) 1 3 2. 4 1 8 7 3 7 7 9 (a)…

A: Solve the function

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

A:

Q: Given f''(x) = 9x + 5 and f'(-3)=-3 and f(-3) = 6. Find f'(x) = and find f(2)

A:

Q: 3. If f'(x)= 3x² 2 and f(1) = 4, find f(e).

A: To find f(x) from f'(x) we integrate it C=integrating constant

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

A: It is given that h(x)=f(x)⋅ g(x), h(x)=f(x)g(x), h(x)=f(g(x)) We have to find h'(2).

Q: Find the derivative of the following function. f(x) = 14 f'(x) =

A: