Mister Exam

Other calculators

y=x^6+6^x
The derivative of the function/ y=x^6+6^x

Derivative of y=x^6+6^x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 6    x
x  + 6
$$6^{x} + x^{6}$$ 
d / 6    x\
--\x  + 6 /
dx
$$\frac{d}{d x} \left(6^{x} + x^{6}\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   5    x       
6*x  + 6 *log(6)
$$6^{x} \log{\left(6 \right)} + 6 x^{5}$$
Simplify
The second derivative [src] 
    4    x    2   
30*x  + 6 *log (6)
$$6^{x} \log{\left(6 \right)}^{2} + 30 x^{4}$$
Simplify
The third derivative [src] 
     3    x    3   
120*x  + 6 *log (6)
$$6^{x} \log{\left(6 \right)}^{3} + 120 x^{3}$$
Simplify
The graph
Derivative of y=x^6+6^x
    © Mister Exam – Calculator