Decide whether 3f”(x)+20f’(x)-7f(x)=0 for f(x)=ae^r 1^x + be^r 2^x. Substitute your values for r1 and r2 into f(x), then find f’(x) and f”(x).

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

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Q: f(x)=(x-2)^2,[2,infinity)   Find the inverse

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Q: x 29. f(x) 1 + e*

A: Differentiating the given function by using quotient rule, we get

Q: The inverse of the function f(x)=3x−4 is f^−1(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: Find f'(x). f(x)=-6 Inx+13x² -7

A: The objective of the question is to find the derivative of the function f(x) = -6 ln(x) + 13x^2 - 7.

Q: find the inverse of V=f(t)=100(1-t/40)^2 then find f^-1(15)

A: Solve as general Replace t to v Solve for v V is inverse of f

Q: -4 Find f'(x) when f(x) = -

A: We will solve the problem

Q: Find f '(x) and f "(x). x2 7 + 4x f(x) =

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Q: Let f(x)=2x^2−2 and let g(x)=5x+1. Find the given value. f[g(−2)]

A: Given: f(x)= 2x^2-2    g(x)= 5x+1

Q: find f(x) if f'(x) = 9 / (1 - x2) and f(sqrt 3) = 4

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Q: f(x) = C

A: Here we apply quotient rule of differentiation given as ddxuv =vdudx-udvdxv²

Q: If sqrtx-6/sqrtx+6, find f'(x) and f'(3).

A: We have to find derivative of f(x) and f'(3), where f(x) is given by ,

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: f f(x) = 3x2 + 2x +1, find f'(2)

A: Given : f(x)=3x2+2x+1 To find out f'(2) , we take derivative Lets find out f'(x) . apply power rule…

Q: f(x)=x^3-x^2+3, a=-2

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Q: If 82+5f(x)+x^2(f(x))^3=0 and f(3)=-2, find f’(3)

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Q: Find f''(x) for the function. f(x) = 8x³ - 2x² +4 OA. 32x-4 B. 4x-32 C. 48x-4 OD. 4x-48

A: Givenf(x) = 8x³ - 2x² + 4

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

A: To find f''(x)

Q: Find the inverse: f(x)=-x- 3 A. f-^(x) = x = 12 X-12 B. f-'(x) = 3x – 4 C. f-'(x) = 4x+ 12 x+3 D. f…

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Q: It is known that the equation of the function y = f(x) is f(x) = 4x + 18. Algebraically determine…

A: Given;  f(x) =4x+18

Q: f(x)=2x^2-6x-1, find x so that f’(x)=0

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Q: ∫dv/(B-v^2), B is a constant

A: This question is about to evaluate indefinite integral.

Q: Find f''(x). f(x)=5x2-11x-9/x2

A:

Q: Find f. f'(x)  = 5x4 - 3x2   + 4    , f(-1)  =2

A: we have to find the value of 'f' f'(x)  = 5x4  -3x2   + 4    , f(-1)  =2