Find y as a function of x if y(0) = 13, y' (0) = 22, y" (0) = 27. y(x) = y" - 15y" +56y' = 42e*,

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x² - 6x² + 3 Find f"(-4) and…

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Q: Find the slope of the graph of the function f(x)=(-5x – 4)² at x = 3. a. f'(x)=-38 b. f'(x)=95 c.…

A: We need to find the slope of given function at x=3

Q: Find f. f"(x) = 6 – 6x – 60x³, f(0) = 2, f'(0) = 3 %D f(x) = %3D

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Q: Find y" by implicit differentiation. бх2 + у2 %3D 3 y" =

A: Given that implicit function is 6x2+y2=3 To find: y''Solution:6x2+y2=3 Diffranciate w.r.t…

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

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Q: Find f. f"(x)  =-2  +12 x -12 x2   , f(0)   = 4 ,f'(0)  =12

A: Given ,f''x=-2+12x-12x2f0=4f'0=12

Q: Use the graph of f and g. Let p(x) = f(x)g(x) and g(x) 2 (a) Find p'(4). p'(4) = = (b) Find q'(1).…

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Q: Find all possible functions with the given derivative. y' = 2x² - 6x 2 O A. 3x³ + C 2 O B. 3x³-3x² +…

A: Given,             y' = 2x2 - 6x

Q: f"(x) = 6x – 2 | and f' (-2) = 3 and f(-2) = 6. Find f' (x) = and find f(4) =

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Q: find y as a function of x if: y'''-13y''+42y'=60e^x, y(0)=11, y'(0)=24, y''(0)=21

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Q: Consider the function. Find f'(x). f'(x) = Find F"(x). F"(x) = Find f"(-7) and f"(3). F"(-7) f"(3) =…

A: Given query is to find indicated derivative and the point where it's concave up and down.

Q: Find f. f ''(x) = 4 − 18x,    f(0) = 8,    f(2) = 8

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Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³ - 3x² + 3 Find f"(-2) and…

A: We will use simple differentiation to solve it.

Q: For the function f(x) = (3x + 5)4, find f''(x), f''(0), f''(2), and f''(-3).

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Q: f"(x) = 2x – 4 and f'(-1) = -1 and f(-1) = -3. Find f'(x) = and find f(4) = %3D

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Q: function of xx if

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Q: Calculate y" and y'''.      y = ex /x

A: The given function is, y=exx Since the given expression is of the form y=fxgx, it can be…

Q: cable below is given by: I. y = (2x*)(x*) Derivative of lII: a. y' = 14x b. y = 20x C. y' = 10x- 2x…

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Q: Let y = f(r) be the inverse of the function f(x) = 2x3³+x-3. Find y'(0) and y'(-3).

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Q: x2 find f"(x). Then find f"(0) and f''(7). For the function f(x) = %3D 3 + x' f"(x) =

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Q: Find y" in terms of x and y. You must use implicit differentiation for this problem. 1- xy = x – Y

A: Given : 1-xy = x-y

Q: Find f. f"(x) = -2 + 30x – 12x2, f(0) = 8, f'(0) = 16

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Q: Differentiate the function. y = ear³ y' =

A: The general formula for differentiating the exponential function is, dy/dx = differentiate…

Q: For the function ​f(x)=2e^−x^3​, find f′′(x). Then find f′′​(0​) and f′′​(1​).

A: To find f''(x)

Q: Let y= f (x) be a function with f (4)=12 and f(4)= 0.5.

A: We have to find

Q: Find f. f"(x) = -2 + 36x – 12x², (0) = 8, f'(0) = 18 "(x) =

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