4. IF F(7)=0 dnd F" (H)=34 what Ca we Say about the Value OF F(7). 5. If F'@) -0 and F"(l)=0, what lan we Say about ths Value FC1).

Q: Given that h''(w) = - 34. State the function that best describes h'(w)

A: h"(w) = -34 Now to find h'(w)

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

A:

Q: 3. Which of the following exponential functions is NOT increasing on the entire real line? a. fAx) =…

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Q: Differentiate the function. f'(x) = f(x) = e5

A:

Q: 4 X Find f'(-2) if f(x) = 5 - 4x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A: given,  f(x)=x45-4x

Q: Question number 2.

A:

Q: If f(x) = 21, find f'(– 10).

A:

Q: 6 f(x) = 7 + find f'(x). Find f'(2).

A: As we know that: The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 Given: fx=7+6x+2x2

Q: 2. Find the derivative of the following functions: 5x + 6 (a) y = 8х — 1 )(",-) 2 8. - 8 (b) r =…

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Q: 2) A function is given by 00 x* e=*dx. *e*dx. h(k) 00 Its values may be found in tables. Make the…

A: Recall that the Gamma function is an alternate form for defining the factorial notation. Gamma…

Q: If 1 f(x) 1 .3 + 1 + x 4 X° + 3 then find f'(0) +

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Q: If Va? – 25 () then f'(6) = f(x) = x cosh

A: Given:

Q: If f(x) = 6x² - 6x +1, find f'(1). f'(1) = (Simplify your answer.)

A:

Q: Question 1 (10 Marks): Calculate of given function f(x,y) = ye**. əx²əy³

A: Definition used -       Partial derivative -             In partial derivative, we differentiate…

Q: 4) The population of frogs has been declining in North Dakota. At one lake, researchers found there…

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Q: Please don't use generated AI

A:

Q: If f(x) = => (1- (sinx)?)" .Determine the value of f( %3D n=1

A: by using geometric progression

Q: h'(x) = Vx + 4

A: Correct option 2

Q: a) f "(1) si f(x) = -3x² - 5x+7 b) f(4) si f(x) = x² + x² −x³

A:

Q: 13. Question: If f(x) is a position function, how could we describe f'(x) and f"(x)?

A: we have f(x) as positional function.

Q: 5. y = - 5 log , (11x - 4) 6. y = 2 log e 4x°3 7. y = 12x² log 8x 8. y = In 25x 5x3

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Q: Q.34. (CotX cosX)/(TT-2x)^3 equals (1) 1/24 (2) 1/16 (3) 1/8 (4) 1/4

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Q: 4 and a = 6. 3 Find (f)'(a) for the function f (x) = x²

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Q: If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

A: Given:- If f(4) = 8 and f '(x) &gt; 1 for 4 ≤ x ≤ 9 To find:- How small can f(9) possibly be?

Q: 35. f'(8) = - 64 64

A: Consider the following equation: y=-164x+14 Differentiate y with respect to x:…

Q: If F = 9. (°C) + 32 then 285 °C = F.

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Q: Find (f-1)'(a) for f(x) = 3x – 3 when a = 0. Enter an exact answer. Provide your answer below:…

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Q: Q3) Find the derivative of y for all functions the following (3) y = tlog3(e(stn t)(In 3)) %3D

A: The derivative of the logarithmic terms can be calculated by first simplifying the logarithm. The…

Q: 3 5. If f(x) = and g(x) = 4*, find: X-4 a) f-¹(g(x)) b) the domain and range of f-¹(g(x))

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Q: f(x) g(x) h(x) = ;a = 3 f(x) f'(x) g(x) g'(x) 0. 2 0. 2. -1 3. 7. -7 7. h'(a) = %3D 3, 2. 2. 5. 2.…

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Q: find f'(x) and simplify. f(x) = x(In x)² A. (2+ In(x))-In(x) B. 1+2ln(x) c. 2ln(x) Xx D.2ln(x)

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Q: The graph of f' is shown. Find the interval(s), if any, on which f decreases. 10 y =f '(x) -2 4 6. 8…

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Q: Find the third derivative f"" for the function f(x) = I-5

A: The first derivative of is given as: Also the derivative of a function in form of is: The given…

Q: Let f and g be functions such that f(8) = 24. f'(8) = 5. ƒ(24) = 16. f'(24) = −6. g(24)= -29. g'(24)…

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