Consider f(x) e on [0, b] and its approximation by an inter- polating polynomial p2(x) at the evenly spaced points. Bound the error in using p(x1) as an approximation to f'(x1) where 0 < xo < x1 < x2

Q: Is the function f : Z→Z defined as f(n)=n^3+2 one-to-one ?

A:

Q: Show that the function f(z)= Im(z) is nowhere differentiable.

A:

Q: Suppose that f (0) = 2 and f'(x) 0. Show that f(4) 0.

A: f(0)=2   and f'(x)≤3  for all x&gt;0 ⋯(i)integrate (i) w.r.to x ,we getf(x)≤3x+kput…

Q: (3-x, xs1 Consider the function given by f (x) = Is the function continuous, %3D x -x+1, x>1…

A:

Q: Let Compute f'(2). ƒ(x) = x³ + 3ª

A: This is a problem related to differentiation of the function. Please follow the procedure given…

Q: 3 Let f(x)= x³ - 2x+: Calculate by definition f'(1). X

A: given function to find the derivative

Q: Let p(x) = x³ - 17x² + 11x + 76. Compute p '(x) and use it to find all values of x for which p '(x)…

A:

Q: For any function, With utilization of the product rule for functions of one variable (eq1), show /…

A: Consider the function z=f(x)·g(x) where f and g are both function of x. So we can rewrite the…

Q: Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132).

A: f(x) is a function with f(130)=39 and f′(130)=2

Q: Let 11 f(x) = ( – 2a² – 4)(7z² – 4)" - - f'(x) =

A:

Q: 2. Let f(x) be a function with domain (00, -00) and f'(x) = 2x3+3x²-36r. Find the intervals where…

A: Step 1:Step 2: Step 3: Step 4: