Determine the error term of for the formula: f'(x)  ≈ (1/4h) [f(x+3h) - f(x-h)]

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Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

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Q: compute a formula for the nth derivative of f(x)=e2x

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Q: Use three-point midpoint formula to evaluate the first derivative of y=x2+5x−1y=x2+5x−1 at x=0x=0…

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Q: 11.Find the derivative of the functions: a) f(x) = In(9x²2 – 3x) b) g(x) = In(ln x)

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Q: 4) /() =2-2 3. 5) y = x*+2x+1 6.) f(x) =

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Q: Derive the following formula for approximating the derivative f": 1 f"(x) ≈ (-f(x+2h) + 16f (x + h)…

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Q: Find the first derivative or f(x) of the following functions using the techniques of integration.

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Q: Find the derivative of the function f(x) = x sin(6x + 14)+ In(5z+9) Answer:

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Q: Find the derivative. f(x)=tanh(2 + e^3x)

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Q: 8.) f(x) = v5x6 – 12 10.) f(x) = (x - 4x- 7)

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Q: Find the derivative with respect to x of h(x) = e2x²+6 In(x).

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Q: The derivative of f(z) = Log(2iz - 4+6i) at z = -3+i is

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Q: What is the derivative of the function h(x) = ((4x^2-4)/(cos(x)))^8

A: We have to find the derivative of ((4x^2-4)/(cos(x)))^8 = 4^8(x^2-1) sec^8(x)= 65536(x^2-1)sec^8(x)