If f(x) = = f'(x) = f"(x) = 4x 5x2 +7 compute the first and second derivatives of f(x).

Q: Find the derivative of f(x) = x²(x² + V¤)

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

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

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 the derivative of f(z) = e2" (3z2- z)

A: Given, f(x)=e2x(3x2-x) Here, when we try to find the derivative of f(x), both chain rule and…

Q: If f(x) = √ 8x + 3, compute the first, second, and third derivative of f(x). f'(x) = f"(x) = = f"(x)…

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Q: If f(x): f'(x) = = f"(x) = = f"(x) = √6x + 5, compute the first, second, and third derivative of…

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Q: Find the derivative of * y=(2x +1)*(3x +1) 3х +

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Q: Find the derivative of f(x) = (x-2x)2 A) f'(x) = 6x5 - 12x3+ 8x B) f'(x) = 6x5- 16x3 + 8x %3D C)…

A: Here we find the derivatives of function.

Q: Find the derivative of f(x) = x + 4". f'(x) = %3D

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Q: Find the derivative of the function. y = (5x - 1)4(8x² - 1)-3 y' = 20(5x−1)3 (8x² - 1)³ 48(5x−1)4…

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Q: If f(x)=x2 -5x+7, calculate the derivative of f(x). Give it the name f'(x). Compare the domains of…

A: First we have to calculate the derivative of f(x) and then domains

Q: If f(x) = -4x³ - 5x² − 3x + 7, compute the first, second, and third derivative of f(x) - f'(x) =…

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Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

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Q: From a function f(x) = 5000 x2 - 7000x + 12000   Find the first and second derivatives

A: dxndx = nxn-1 dcfxdx = c df(x)dx ; where 'c' is constant.

Q: Find f'(x) and simplify. f(x)=6x5(x-9)

A: Answer is f'(x) =54x⁴(x⁴ - 5)Explanation:Step 1: Step 2: Step 3: Step 4: Thanks 🙏

Q: exp(x²) Vx²+1)( ¥2x* +3 18. f(x)= Vx*+1

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Q: Determine f '(x) from the first principles if f (x) = -2 -3x

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Q: Find the derivative of the function. F(x) = (5x + 2x³14 F'(x) =

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Q: f(x)=x3-2

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Q: Find the derivative for g(x) = :-7x - 2 + 3x

A: We need to determine the derivative of the function: g(x) = -7x2/3 -2+3x7/4 As the differentiation…

Q: Find the first and second derivatives of the function. f(x) = 16x16 + 7x7 - x f'(x) = F"(x) =

A: To find the first and second derivatives of the function:

Q: What rule do you use to calculate the derivative of f(x) = exx2 and f(x)=(x2-3x+1)/(x+5) ?

A: Use the product rule and quotient rule of derivative:

Q: evaluate the derivative of the function at the given pointf(x)=-4/(2x2-3x)4 , (1,-4)

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