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lnx+sinx
The derivative of the function/ lnx+sinx

Derivative of lnx+sinx

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
log(x) + sin(x)
$$\log{\left(x \right)} + \sin{\left(x \right)}$$ 
log(x) + sin(x)
Detail solution

  1. Differentiate term by term:

    1. The derivative of is .

    2. The derivative of sine is cosine:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
1         
- + cos(x)
x
$$\cos{\left(x \right)} + \frac{1}{x}$$
Simplify
The second derivative [src] 
 /1          \
-|-- + sin(x)|
 | 2         |
 \x          /
$$- (\sin{\left(x \right)} + \frac{1}{x^{2}})$$
Simplify
The third derivative [src] 
          2 
-cos(x) + --
           3
          x
$$- \cos{\left(x \right)} + \frac{2}{x^{3}}$$
Simplify
The graph
Derivative of lnx+sinx
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