Question

Помогите решить производные

Answer 1

$1) f(x) = cos x^{2} - 2sin x\\\\f'(x) = - sin x^{2} * 2x - 2 cos x\\\\f'(0) = - sin 0 * 0 - 2 * cos 0 = -2\\\\\\2) f(x) = 5 cos x + x^{5} - e^{x} \\\\f'(x) = -5 sin x + 5x^{4} - e^{x} \\\\f'(0) = -5 sin 0 + 5*0 - e^{0} = -1\\\\\\3) f(x) = 3^{4x} + x^{2}  \\\\f'(x) = 4 * 3^{4x} * ln 3 + 2x \\\\f'(1) = 4 * ln 3 * 3^{4} + 2 = 324 ln 3 + 2$