Use forward and backward difference approximations of O(h), and a centered difference approximation of O(h2), to estimate the first and the second derivative of f(x) = sinx/(1+ cosx) at x; = T/4, with h = 1/12. Compute true error for each case. show your solution.

Q: Find and simplify the second derivative of f(0) = cos(sin(30))

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Q: SOLVE THE IMPLIED FUNCTION BY OBTAINING THE DERIVATIVE = 2x4y3 -xy² + 1; z = dz dy

A: Explanation:

Q: 3x y= + Arccos () V8-x3

A: See the details solution in below

Q: If u = and , then what is the magnitude of 2 + . Round to the nearest hundredth. Answer:

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Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: C. y = cosh¯'(x² + 1) + tanh-1(sinx) + sinh-'(cothx²)

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Q: R(x)= 1 dt . 76 +4 Use FTC part II to find the derivative of the function

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Q: w. Determine the fourth derivative of f (w) = 7sin() + cos (1 – 2w)

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Q: (1+x²-1) y = tan²¹ / √₁+x²

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Q: Find f. f"(x)  =6 x + Sin x

A: Given: f"x=6x+sinx we know that f'x=∫f"xdx                                      ..1 so, by using…