Suppose f''(x) = 6x + 9e ƒ'(0) = - 8, and f(0) Then f(x) = = - - 3x - 5.

Q: Find f. f ''(x) = 20x3 + 12x2 + 10,    f(0) = 4,    f(1) = 2

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

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Q: Find f.   f ''(x) = (5/6)x5/6

A: Consider f''x = 56x56

Q: Find f'(x) if f(x) =9x7/5- 5x2+10000

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Q: Suppose ƒ'(x) = 8x³ + 12x + 2 and ƒ(1) = −4. Then f(−1) equals

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Q: The inverse of the function f(x)=3x−4 is f^−1(x)=

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Q: Find f. f "(x) = 5/ /1 - x2, = 2 ()- 2. f(x) =

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Q: Find(f ^−1)'(a).f(x) = 4x^3 + 4x^2 + 7x + 2, a = 2(f ^−1)'(a) =

A: Here a function f(x) is given and value of a is given we need to find the derivative of inverse of…

Q: If f(x) = 7+ Find f'(x). Find f'(x). 10/8 + 4 x²

A: Given that a function f (x) = 7+ 5/x + 4/x2.  And we find f'(x) and f"(x).

Q: On a college campus of 3000 students, the spread of flu virus through the student is modeled by…

A: The logistic growth rate model always produces an exponential function. If the model contains the…

Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: f'(x)= X-2 x²-9

A: Given data:   The derivative of the function is given as:.   The expression to find out the point of…

Q: Find f'(x) and simplify. x²+2 7x-8 f(x) = Which of the following shows the correct application of…

A: I have explained everything with in the solution. Please go through that.

Q: If 21+3f(x)+2x^2(f(x))^3=0 and f(-3)=-1 what is f'(-3)?

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Q: Suppose g(x) = 3 + x/2x − 3. Evaluate g^−1(−1).

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Q: Find f''(x) for the function. In x 8x f(x) = O A. O B. O C. O D. -7-2 Inx 9x3 - 3+2 Inx 8x3 In x 8x³…

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Q: Find f(x). -12x-3 f(x) = 3x - 12x 413 f''(x) =

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Q: If y=((1)/(x)) ((x^(2)-3x)^(2)), find y'' a. 6x - 12 b. 2x + 4 c. 4x -6 d. 6x - 4

A: y = (x2-3x)2/x   y = x (x-3)2  y = x(x2+9-6x)  y = x3+9x -6x2    Differentiating w.r.t. x,  y' = 3x2…

Q: Suppose the function f(t)=125000e^-0.103t gives the population of a city t years since 1970.…

A: Given that, Function of population of a city since 1970 is, f(t) = 125000e-1.103t where t is in…

Q: Let f(x) = (2x²+6) (-8x²+2) 15 f'(x) =

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Q: f(x) = (6x2-4)7(-3x2+3)13 f'(x)=

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Q: Given f''(x) = 3x + 3 and f'(-3) = 1 and f(-3) = 6. Find f'(x) = and find f(4) =

A: We want to find f'(x) and f(x) values first.

Q: If f(x)=3x^2-3x+7, find f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: If f(x) = 2 - x / 5x , determine the equation of f^ -1(x) , the inverse of f(x).

A: Given, the functionWe determine the equation of .

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

A: We can solve this using application of integral.

Q: If 87 +7f(x) + 5x²(f(x))³ = 0 and f(-4)= -1, find f'(-4). f'(-4)=

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Q: Suppose f'(x) = 8x³ + 12x + 2 and ƒ(1) = −4. Then f(−1) equals . (Enter a number for your answer.)

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Q: find f'(x) for f(x)= (2x-1)4 (3-x5)4

A: f(x)= (2x-1)4 (3-x5)4Let (2x - 1) = u and (3-x5) = vHence, du/dx = 2 and dv/dx = -5x4Also, f = u4v4…