導関数の練習問題クイズ（べき・積・合成）解説付き

Question 1

$\frac{d}{dx}\left(5x^{-3}\right)$ を求めよ。

Accepted Answer

$-15x^{-4}$

Answer

$15x^{-4}$

Answer

$-3x^{-4}$

Answer

$-15x^{-2}$

Question 2

$\frac{d}{dx}\left(\sin(x^2)\right)$ を求めよ。

Accepted Answer

$2x\cos(x^2)$

Answer

$\cos(2x)$

Answer

$\cos(x^2)$

Answer

$2\cos(x^2)$

Question 3

$y=\ln\left(\frac{x^2+1}{x}\right)$ を微分せよ。

Accepted Answer

$\frac{2x}{x^2+1}-\frac{1}{x}$

Answer

$\frac{2}{x^2+1}-\frac{1}{x}$

Answer

$\frac{2x}{x^2+1}\cdot \frac{1}{x}$

Answer

$\frac{2x-1}{x^2+1}$

信頼と実績