please help me solving Q)1 and Q)2 all parts

1. Determine the coordinate of all points at which the tangent to the curve defined by \( y=e^{-x} x^{2} \) is horizontal. \( [\mathrm{K} 2, \mathrm{~T} 1] \) 2. Determine the derivative of each function. [K10] a) \( y=x(3)^{x}+5^{x} x^{5} \) b) \( y=10^{(5-6 t)} \) c) \( y=\cos \left(x^{3} ight)-5 \sin (x) \cos (x) \) d) \( y=\left(x^{2}+\cos ^{2}(x) ight) \cdot 2^{x} \) e) \( \mathrm{y}=\frac{\cos (2 x)}{x} \cdot \sqrt{x} \)

1. Determine the coordinate of all points at which the tangent to the curve defined by y=exx2 is horizontal. [K2,T1] 2. Determine the derivative of each function. [K10] a) y=x(3)x+5xx5 b) y=10(56t) c) y=cos(x3)5sin(x)cos(x) d) y=(x2+cos2(x))2x e=xcos(2x)x