grandes-ecoles 2010 QI.B.2

grandes-ecoles · France · centrale-maths1__pc Differentiating Transcendental Functions Evaluate derivative at a point or find tangent slope

Let $n \in \mathbb{N}^*$.
a) Show that $\arccos(x) \sim \sqrt{2(1-x)}$ as $x \rightarrow 1$.
b) Deduce the calculation of $F_n'(1)$ and $F_n'(-1)$.

Let $n \in \mathbb{N}^*$.

a) Show that $\arccos(x) \sim \sqrt{2(1-x)}$ as $x \rightarrow 1$.

b) Deduce the calculation of $F_n'(1)$ and $F_n'(-1)$.