Use forward, backward, and centered difference approximations to estimate the first derivative of f(x) = 5x5 + 3x³ + 2x + 1 Use step size h = 0.5 and find the percentage error for each. Show all the steps and calculations, including the rules.

Q: C20+3xHo

A:

Q: х3+3x+2 5. у %3 х2-1

A: Given function: y=x3+3x+2x2-1 Differentiate the above function .w.r.t 'x' y'x=ddxx3+3x+2x2-1

Q: The second derivative of f(x) = ex²-8 is %3D Font Sizes

A:

Q: 2v f(v) = 2 - %3D 3

A: f(v) = 2 - 2v/3 We know that if, f(v) = vn Then, f'(v) = nvn-1

Q: Find the derivative of y = cos-(8x'). (Use symbolic notation and fractions where needed.) y = | help…

A: Given:          y=cos-1(8x9)