Additional Mathematics 0606 / Calculus — Differentiation 2 / 3.963.96: Related rates with a tangent function0606/22/M/J/23 — Question 4 · 6 marksMark as done · Save for later · Show all solutionsVariables xxx and yyy are related by y=tan(x+2)−1y = \tan(x + 2) - 1y=tan(x+2)−1 where 0⩽x⩽π20 \leqslant x \leqslant \dfrac{\pi}{2}0⩽x⩽2π. Given that xxx is increasing at a constant rate of 0.040.040.04 radians per second, find the corresponding rate of change of yyy when y=3y = 3y=3.[6]▸ Answer▸ Official mark scheme← 3.31: Derivative of a quotient, small change, and ln integral3.33: Tangent from exponential curve to axes →