Let `y = x tan(x)`. Evaluate `(dy)/(dx)` when `x = pi/6`. (3 mark)
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Let `f(x)=(1 + tan x)^10.` Find `f′(x)` (2 marks)
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Differentiate with respect to `x`:
Let `f(x)=x tan x`. Find `f′(x)`. (2 marks)
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If `f(x)= 2 sin 3x - 3 tan x`, find `f′(0)`. (2 marks)
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Let `g(x) = log_e(tan(x))`. Evaluate `g′(pi/4)`. (2 marks)