1) Use forward and backward difference approximations with error of O(h²) and a centered difference approximation of O(hª) to estimate the first derivative of function between (1.00 to 7.00) using a step size h = 0.2. Generate a table and draw the graph in the range of (1.0 to 7.0 and 34 pieces) for forward, backward, centered 1st derivatives of the function. f(x) = x²e-³

Q: 3. Approximate the first order derivative of f(x)= x² + 2x at x = 3, using Forward, Backward and…

A: Formulas for differences are enclosed next page

Q: Find the 5th derivative of the function y=x2sin2x at x=0.

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Q: ...... . . *********************** .... ...... ......... Find the slope of the graph of the function…

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Q: Find the 3rd derivative of the function y=xsinx

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Q: 3 2 e. 12 = y³ + x² •

A: Consider the function

Q: Find the approximate error, relative approximate error, and absolute relative approximate error of…

A: The approximate error is calculated using the formula: Ea=Present value-Previous value. The relative…

Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

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Q: Calculate the derivative of the following function. y=f(g (5x*)), where f and g are differentiable…

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Q: lease find the derivative of the function h(r) using the picture

A: given function :

Q: Estimate the derivative of the function f(x)= 7 –9x at the point x = 6 using the balanced difference…

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