Additional Mathematics 0606 / Calculus — Differentiation 2 / 2.442.44: Small change using differentiation0606/22/M/J/20 — Question 1 · 4 marksMark as done · Save for later · Show all solutionsVariables xxx and yyy are such that y=sinx+e−xy = \sin x + \mathrm{e}^{-x}y=sinx+e−x. Use differentiation to find the approximate change in yyy as xxx increases from π4\dfrac{\pi}{4}4π to π4+h\dfrac{\pi}{4} + h4π+h, where hhh is small.[4]▸ Answer▸ Official mark scheme← 1.11: Equation of a tangent to a logarithmic rational curve2.45: Tangent to a trigonometric curve and intercept distance →