Q2. Calculate or Prove: (1) Show that lim so sin (X+6)-sin (X) = cos X. sin...

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Q2. Calculate or Prove: (1) Show that lim so sin (X+6)-sin (X) = cos X. sin d // Hint: it may be helpful to use sin(X + 8) = sinX cos d+cosX sind . d (2) Find the derivative: (x cos(3x)). dx (3) Find the derivative: (3 logs (2x))'. d (4) Show that z[cos(2x)]+4 cos (2x) = 0. dx Q2. Calculate or Prove: (1) Show that lim so sin (X+6)-sin (X) = cos X. sin d // Hint: it may be helpful to use sin(X + 8) = sinX cos d+cosX sind . d (2) Find the derivative: (x cos(3x)). dx (3) Find the derivative: (3 logs (2x))'. d (4) Show that z[cos(2x)]+4 cos (2x) = 0. dx