2(1-x²) (1+x²)² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x): = f(x) = find the derivative of this function f'(x) 4x(x²-3) (1+x²)3 4x(x²+3) (1+x²)3 4x(x²-3) (1-x²)3 4x(x²+3) (1-x²)3

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A: Given equation is x3=-4yfx+siny+1 Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: (b) F₂(x) = F₂'(x) = 9 4(x4 + 1)5 (d) F4(x) = F4'(x) = X 4 (c) F3(x) = (9x² + 1)5 4 F3'(x) = 9 (4x4…

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Q: Find f. f ''(x) = 48x2 + 2x + 4,    f(1) = 2,    f '(1) = −2

A: We find f'(x) by integrating f"(x) c=integrating constant Given, f'(1)=-2  Using that we find c

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A: Given ; fx = 4x2 - 5x + 3

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Q: X x+18

A: f(x)=xx+18

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A: Here we find the derivatives of function.

Q: Find f. f ''(x) = −2 + 36x − 12x2,    f(0) = 3,    f '(0) = 16

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Q: 2x+1 -2 x3 - 5x Which of the following is the derivative of f(x)= (x3 -5x)(2)- (2x+1)(3x² - 5) (x² -…

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A: Given, .Rules of derivative:

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Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

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Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = O None of these. f'(x) =…

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Q: Find the first and second derivatives of the function. f(x) = (7x² + 6)7/2 r'(M) = | 49x(7x² + 6)…

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Q: ļim (* +4)- ƒ(x) 3. Find the derivative of the following functions using the Show all your steps. a.…

A: f'(x)=lim(h tends to 0) {f(x+h)-f(x)}/h use this for derivative

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A: INTRODUCTION   Given function: f(x)=(x2+6)4 To determine: The value of the second derivative of the…

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Q: Find the derivative of y= 3x5-7x²-4 2 X

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Q: Find the derivative of f(x)= O f'(x)= O f'(x) = 15x4 O f'(x)= 48x5-150x¹+38 (2x-5)² O f'(x)= 6x5-19…

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Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = None of these. f'(x) = f'(x)…

A: topic- derivative of a function quotient rule:uv'=vu'-uv'v2

Q: Find the derivative of f(x) = -2x Or) - 6x2 Of (x) = -6 x2 Of (x) = -6 x3 %D Or-6x* f (x) = 6 x4 %3D

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Q: Find f'(x). f(x) = In x +4ex-3x2 f'(x)=

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