Mister Exam

Derivative of 2^x+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 x    
2  + 1
2x+12^{x} + 1
2^x + 1
Detail solution
  1. Differentiate 2x+12^{x} + 1 term by term:

    1. ddx2x=2xlog(2)\frac{d}{d x} 2^{x} = 2^{x} \log{\left(2 \right)}

    2. The derivative of the constant 11 is zero.

    The result is: 2xlog(2)2^{x} \log{\left(2 \right)}


The answer is:

2xlog(2)2^{x} \log{\left(2 \right)}

The graph
02468-8-6-4-2-101002000
The first derivative [src]
 x       
2 *log(2)
2xlog(2)2^{x} \log{\left(2 \right)}
The second derivative [src]
 x    2   
2 *log (2)
2xlog(2)22^{x} \log{\left(2 \right)}^{2}
The third derivative [src]
 x    3   
2 *log (2)
2xlog(2)32^{x} \log{\left(2 \right)}^{3}
The graph
Derivative of 2^x+1