Let f(x) = cos (3x²) - 1 x² = Evaluate the 10th derivative of f at x = 0. f(10) (0) = Free-form Snip Hint: Build a Maclaurin series for f(x) from the series for cos(x).

, Let f(x) = cos (2x²) - 1 x² -. Evaluate the 10th derivative of fat x = 0. f(¹0) (0) = Hint: Build a Maclaurin series for f(x) from the series for cos(x).

Q 1. Find the Maclaurin series of the given function : (a) f(x) = e=x² (b) f(x) = x³ cos(x²), c = 1 (c) f(x)= sin 3x (d) f(x) = xe", c = }

3. Find the power series representation for f(x)=; by first manipulating equation (3). (9-x)*