Problem : Find the derivative of the series 16x4 2x f(r) = 1 + f'(x) 2 f(x). 32.x 5! 4.x2 873 +. + Also show that 1! 2! 3! 4!

Q: a = < x, y, 1 >b = < 1, -1, 3 >|a| = (14)^(1/2)/2a•b = 5Find all possible values of x…

A: As we know dot product and given information

Q: S(x*+1)(x* + 5x)'dx 11.

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Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: If f(x) O _ x9 (4x +11)³' 99x8 (4x + 11)4 O 15x +97 4x + 11)4 0x8 x (32x + 109) (4x + 11)4 O x³ (24x…

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Q: Find ƒ(x) if ƒ'(x) = 3x² - 4x + 4 and ƒ( − 1) – – 4. ƒ(x)

A: F

Q: 12x + 10 Suppose that f(r) = Evaluate each of the following: f'(-2) = 5/2 %3D f' (5) = %3D

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Q: If 69 + 5 f(x) + 2x²(f(x))³ = 0 and f(1) = -3, find f'(1). f'(1) =

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Q: If f(4) = 3 and f '(x) ≥ 3 for 4 ≤ x ≤ 7, how small can f(7) possibly be?

A: We have to find the smallest value of f(7)

Q: If f(2) = 5 and f'(x) ≥ 2 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ► 20 X

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Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

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Q: The graph of a continuous function f : [0,9] → R is given below. The function

A: given F(x)=∫0xf(x)dx

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: If f(x) = 3 + 7 22 Find f'(5). -0.36 Find f''(x). Find f''(5). 7 X + 2 x2 find f'(x).

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Q: 3. Find f'(x). 2 f(x) = In x + 3e - 2x

A: given,  f(x)=lnx+3ex-2x2

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: If f(x) = f t¹ d t then Use '^' to enter exponent for example, x^2 for X -x² Enter an integer or a…

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Q: If f'(x) = 2x³ + 3x² − 4x + 5 and f(0) = 1 and f'(0) = 2 find f.

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

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Q: 7 x + 3 Let f(x) = x³ . x + 5 f'(x) =

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Q: If ƒ (x) +x5(ƒ (x) )² = 34 and f(1) = 2, then f'(1) =

A: Derivative

Q: If f'(x) 7 O f(3) < 6 Of(3) < 2

A: