If y = f(x), then f'(x), y', [Select] dy da and f(x) all represent the of fat x.

Q: Find y as a function of a if y" – 8y" + 15y/ = 8e", y(0) = 28, y(0) = 14, y"(0) = 12. y(x) =…

A: We have to find the solution of differential equation.

Q: Find f such that f ' (x) = 4x -5, f(5) = 0

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Q: Find f', f'', f''' and f (4) for the function. f(x) = x° + 3 + 3x + 1 %3D f'(x) = Preview f''(x) =…

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Q: f(x) = +x* – x' x² + 2x – 1 4 - - -

A: Given: fx=14x4-23x3-12x2+2x-1

Q: Let f(x) = (x – 8)² + 4, æ > 8. Determine f-'(x). f-'(x) = ||

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Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

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

A: Given

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'(x) for f(x) = (x2 + 2)3

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Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

A: Given function, f(x)=x2-3x-18

Q: The functions f and g are differentiable and h(x) = f(g(x)). Use the information below to find…

A: We know that If h(x)=f(g(x)) then h'(x)=f'(g(x))g'(x)

Q: Let F(x) = f(x*) and G(x) = (f(x))* . You also know that a' = 11, f(a) = 2, f'(a) = 2, f'(a*) = 11…

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Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(7) = 0 f(x) =

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Q: Let f(u)=u^3 and g(x)=u=6x^4+2. Find (f o g)'(1).

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Q: Let f(x) = = f'(x) = = /3x² + 3x + 2 2

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