Project ID:
7100020132
Accepted:
Typ:
Layout:
Question:
Dopasuj każdą z funkcji do jej pochodnej.
Question 1:
$f(x)=\frac{x^3}3 +x$
Answer 1:
$f'(x)= x^2+1 $
Question 2:
$f(x)=\sin(x^2+1) $
Answer 2:
$f'(x)= 2x\cdot \cos(x^2+1) $
Question 3:
$f(x)= \mathrm{e}^{2x} $
Answer 3:
$f'(x)= 2\mathrm{e}^{2x} $
Question 4:
$f(x)= \ln(x^2+1) $
Answer 4:
$f'(x)= \frac{2x}{x^2+1} $
Question 5:
$f(x)= \frac{x}{x^2+1} $
Answer 5:
$f'(x)=\frac{1-x^2}{(x^2+1)^2} $
Question 6:
$f(x)= \sqrt{x^2+1} $
Answer 6:
$f'(x)= \frac{x}{\sqrt{x^2+1}} $
Question 7:
$f(x)= (x^2+1)\sin x $
Answer 7:
$f'(x)= 2x\sin x + (x^2+1)\cos x $
Question 8:
$f(x)=x^2+1 $
Answer 8:
$f'(x)= 2x $
Question 9:
$f(x)= (x^2+1)x $
Answer 9:
$f'(x)=3x^2+1 $