In [1]:

var('a X')

Out[1]:

(a, X)

In [2]:

f = exp(sin(a - x^2))/x

In [3]:

show(f)

$\newcommand{\Bold}[1]{\mathbf{#1}}\frac{e^{\left(\sin\left(-x^{2} + a\right)\right)}}{x}$

In [4]:

f1 = diff(f, x)

In [5]:

show(f1)

$\newcommand{\Bold}[1]{\mathbf{#1}}-2 \, \cos\left(-x^{2} + a\right) e^{\left(\sin\left(-x^{2} + a\right)\right)} - \frac{e^{\left(\sin\left(-x^{2} + a\right)\right)}}{x^{2}}$

In [6]:

f2 = diff(f, x, x)

In [7]:

show(f2)

$\newcommand{\Bold}[1]{\mathbf{#1}}4 \, x \cos\left(-x^{2} + a\right)^{2} e^{\left(\sin\left(-x^{2} + a\right)\right)} - 4 \, x e^{\left(\sin\left(-x^{2} + a\right)\right)} \sin\left(-x^{2} + a\right) + \frac{2 \, \cos\left(-x^{2} + a\right) e^{\left(\sin\left(-x^{2} + a\right)\right)}}{x} + \frac{2 \, e^{\left(\sin\left(-x^{2} + a\right)\right)}}{x^{3}}$

In [9]:

f = x^3 + 2*x^2 + 3*x + 5

In [10]:

show(f)

$\newcommand{\Bold}[1]{\mathbf{#1}}x^{3} + 2 \, x^{2} + 3 \, x + 5$

In [11]:

f1 = diff(f,x)

In [12]:

show(f1)

$\newcommand{\Bold}[1]{\mathbf{#1}}3 \, x^{2} + 4 \, x + 3$

In [13]:

f2 = diff(f, x, x)

In [14]:

show(f2)

$\newcommand{\Bold}[1]{\mathbf{#1}}6 \, x + 4$