bac-s-maths 2021 Q1

bac-s-maths · France · bac-spe-maths__centres-etrangers_j1 1 marks Differentiating Transcendental Functions Higher-order or nth derivative computation

Consider the function defined on $\mathbb{R}$ by $$f(x) = x\mathrm{e}^{-2x}$$ Let $f^{\prime\prime}$ denote the second derivative of the function $f$. For any real number $x$, $f^{\prime\prime}(x)$ is equal to: a. $(1-2x)\mathrm{e}^{-2x}$ b. $4(x-1)\mathrm{e}^{-2x}$ c. $4\mathrm{e}^{-2x}$ d. $(x+2)\mathrm{e}^{-2x}$

b. $4(x-1)\mathrm{e}^{-2x}$

Consider the function defined on $\mathbb{R}$ by
$$f(x) = x\mathrm{e}^{-2x}$$
Let $f^{\prime\prime}$ denote the second derivative of the function $f$.\\
For any real number $x$, $f^{\prime\prime}(x)$ is equal to:\\
a. $(1-2x)\mathrm{e}^{-2x}$\\
b. $4(x-1)\mathrm{e}^{-2x}$\\
c. $4\mathrm{e}^{-2x}$\\
d. $(x+2)\mathrm{e}^{-2x}$

Paper Questions

QExercise 2 QExercise 3 QExercise A QExercise B Q1 Q2 Q3 Q4 Q5