e big O form of Taylor's theorem about r = a to show that if f and its first three derivatives are uous then f(a +h) – f(a) f(a +h) – f(a – h) - f'(a) + O(h?) f'(a) + O(h) but %3D %3D h 2h 0. (These formulas are useful for the numerical calculation of derivatives.)

Q: 2. Determine the derivatives of the functions given below using only algebra and the specified…

A: Part a,Given,           fx=-x23+x3x104

Q: Use standard derivatives and differentiation rules to find for each of the following. dx If…

A: We have to find derivative

Q: 3 (8) Consider the curve given by 23 + x?y+ y³ = 1 Use implicit differentiation to find the equation…

A:

Q: .Find derivatives of the following functions a) f(r) = -r' + 6x² – x² + 5.3r + v10 b) w(s) = s'(7s +…

A:

Q: 2) Students often make these simple derivatives harder than necessary. How would you differentiate…

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Q: Calculate the derivative using implicit differentiation: சம dz || -2zw - 7y (x³ +8w+z²) θω dz…

A:

Q: 2 Y = x ²² - K² K is a constant X² + K² K is

A: Topic- derivative of a function we are given y=x2-k2x2+k2and we know thatddxuv=vu'-uv'v2ddxxn=nxn-1

Q: 3 b) Determine the derivative of - from First Principle. (5)

A: The derivative from first principle is given below. Hope this helps!

Q: 3. The figure below shows the graph of the derivative of f'(x). Use this to determine the location…

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Q: If f(x) = 3x(sin x + cos x), find the derivative.

A:

Q: 41. If f(x) = x²/(1 + x), find f"(1).

A: 41.f(x)=x21+x

Q: If u is a differentiable function of x and f ( x) = |u| then f'(x)= |u| , u #0. Use this to find the…

A: Given query is to find the derivative of f(x).

Q: 43 part a b and c

A: Topic:- function and it's Derivatives