recategorized by
308 views

1 Answer

Best answer
1 votes
1 votes
$\large f(x)=e^{x^{2}}\ln x$

$\large f'(x)=e^{x^{2}}\frac{\mathrm{d} }{\mathrm{d} x}\ln x+\ln x \frac{\mathrm{d} }{\mathrm{d} x}e^{x^{2}}$

$\large f'(x)=e^{x^{2}}\frac{1}{x}+\ln x e^{x^{2}}\frac{\mathrm{d} }{\mathrm{d} x}x^{2}$

$\large f'(x)=e^{x^{2}}\frac{1}{x}+\ln x e^{x^{2}}(2x)$

$\large f'(x)=e^{x^{2}}(\frac{1}{x}+2x\ln x)$
selected by

Related questions

0 votes
0 votes
3 answers
1
kidussss asked Jul 7, 2022
440 views
Let $f(x) = e^{x^2},$ then find $f''(x).$
1 votes
1 votes
1 answer
2
Applied Course asked Jan 16, 2019
664 views
The value of derivative of $f(x) = \mid x -1 \mid + \mid x -3 \mid \text{ at } x = 2$ is$-2$$0$$2$Not defined
1 votes
1 votes
2 answers
4