Suppose f(x) and f'(x) have the following values. -1 0 12 8 -5 10-2 8 -6 -5 7 f(x) f'(x) -2 0 -3 Let h(x) = arctan(f(x)). h'(2) =

Q: Let f and g be functions such that f(0) = 3, g(0) = 5, f' (0) = 4, g'(0) = -3. Find h'(0) for the…

A: Given f0=3,    g0=5f'0=4,   g'0=-3hx=gxfx To find h'0

Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4…

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Q: if you know that f(x)=g(x)+3x and g(4)=6 ,f'(4)=-3, so find me the derivative multiplication for…

A: We have to find derivative multiplication of the given functions

Q: \lim_(x->\infty )(e^(-x)+2cos 3x)

A: See the answer below

Q: h' (2) = 4, then f'(2) = ? We know the following 5. Suppose that f(h) and h(r) are functions such…

A: Using the given value we find the composition function value and value of f’(2)

Q: Suppose f(x) f'(2) = ex x² +5 . Find:

A: Given: f(x)=exx2+5

Q: If f'(x)=7x x-4 and f(4)= - 5, then what is f(5)?

A:

Q: Given f''(x) = 8x – 5 and f'( – 3) = 1 and f( – 3) = – 2. Find f'(x) and find f(2) =

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Q: If f(x) = (52² + lx + 6)cos(x), find f'(x) =

A:

Q: / If f(x) = 2x (Sinx+cosx) find. f'(x) = ' (5) =

A: Given function  f( x ) = 2x( sinx + cosx )

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

A:

Q: If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5) = -2, and g'(5) = 6, find F'(5).

A: Here given

Q: Given f''(x) = 4x – 5 and f'( – 3) = 3 and f( – 3) = 6. %3D Find f'(x) = and find f(3)

A: Given, f''x=4x-5 , f'-3=3 and f-3=6 We have to find f'x and f3.

Q: Consider the following function: Step 1 of 4: Determine ƒ'(x) and ƒ"(x). f(x) = (x − 1)(x+8)² Answer…

A: Step 1:To determine f′(x) and f′′(x) for the given function f(x)=(x−1)(x+8)2, we can use the product…

Q: Let F(x) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 6, f(6) = 2, f'(6) = 5, f'(3) = 15…

A:

Q: Given f''(x) = 3x – 1 and f'( – 3) = – 5 and f( – 3) = - 1. Find f'(x) and find f(4)

A:

Q: Given f''(x) = 4x – 6 and f'( – 1) = – 2 and f( – 1) = 4. Find f'(x) = and find f(2)

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Q: Find f if f'''(x)=cosx,f(0)=1,f(0)=1,f'(0)=2,f''(0)=3

A:

Q: If f is the function f (x) = + 4/x, then f' (4)

A: The function is  f(x)=4x+4x

Q: If f(x) (1)? = 2 x² + 3x x+1 " then what is

A: Given: f(x)=x2+3xx+1

Q: 2) a) Let f(x) = 2* + 3x7. Find f'(x) and f" (x). b) Find the derivative f'(x) in the following…

A: a.)   Given f(x) = 2x + 3x-1/2 f'(x) , f''(x) are to be calculated. Formulas used here  ** y = ax…

Q: Let f (x) = x² 2 - 8 Find and simplify f'(x) and f" (x). + B where f'(x) = A = B = C = %3D Dx2 + E…

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: Find f'(0) if f (x) = In(cos .x).

A: we have to find f'(0)

Q: If f(x) = (3x + 8), find f'(x). %3D Find f'(1).

A: Note some formule:

Q: If f(x) = (x+1)/(x-1), where x # 1, determine f '(1). %3D

A: derivative of fx=x+1x-1 at x=1

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Step 2: Step 3: Sten 4:

A:

Q: If f(x) = 3x(sin x + cos a), find f'(æ) =

A: