For # 1-12, differentiate 1₁ f(x) = (x² - 3x + 5)35 3 2. g(x) = √²-5 3/x2-5 3. y = sin x² 4. y = sin² x

Q: If F(x)=sin(7-x5-13-x³ +5-x). Calculate dF(x) = dx

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Q: 16. The derivative of the function f(x)= x - X +2 is X - 1 (x* - 2) V a) b) (x? -2) Vx x? - 2 d) X +…

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Q: For the function f (x) = 5a- 7x +4r + 3 %3D a. Find f '(x) b. Find f" (x) c. Find f" (0) and f “ (2)…

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Q: Let f(x) = 12 - 4x°. Find the inverse and verify your result. 3.

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Q: Find the second derivative [ f"(x)] of the given function: f(x) = eln Vx²+2 %3D (x2 + 2)) x(x² + 2)-…

A: Given problem:- Find the second derivative [f''(x)] of the given function:   f(x) = eln√(x^2+2)

Q: I'm not sure how to differentiate f(x) = 2xln(x)

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Q: 2. Find f'(1) if f(x) = 3x³ (√x-2).

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Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

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Q: Determine whether f(x)=sinx+cosx is an odd or even number

A: Given function is f(x)=sinx+ cosx

Q: If ƒ(x) = 3x√x + ƒ'(9) = x²√x then ←

A: f(x)=3xx+2x2xwe know  ax×ay=ax+yd dx(xn)nxn-1

Q: Find f'(1) if f(x) = √√√x + )=√x+ +2

A: We are given,

Q: Let f be the function given by f(x)=√x² - 9x² Find f'(x).

A: Formula Given function

Q: Write a function in any form that would match the graph shown below

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Q: Explain why f(x)=sinx is an odd function.

A: We have to explain the given function is odd function: fx=sin x We know for odd function it must be…

Q: Suppose f(x)=x^4+3x+1 on the interval [−4,−1]. Find x when f′(x)=0.

A: Given function is Differentiating with respect to x , we get

Q: If f(x) − x3 - x, find f"'(x) and f (4)(x).

A: Given function is: fx=x3-x We have to find f'''x and f4x.

Q: 4x - 7x Differentiate with respect to 'x' 6x + 5

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Q: e) k(x) = (2x-1) ³x

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Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + sinx c) f(x) =

A: Differentiate wrt x

Q: Find ao of the function f(x) =÷(n - x)2 | О п^2/12 5 T^2/6 5 T^2/12 O T^2/6

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Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: Let f(x, Evaluate f(3, 4) y)=√150 - 4x² - 2y²

A: fx, y=150-4x2-2y2

Q: For the given functions f and g, find the requested composite function. 5 3) f(x)=- x+6' 8(x) = Find…

A: The given functions are; f(x)=5/(x+6), g(x)=3/4x

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

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Q: If f(x)=√√√x² - 4x + 19, then what is f'(1) ?

A: Given query is to find the indicated derivative.