Mister Exam

Derivative of 3x^7

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   7
3*x 
3x73 x^{7}
d /   7\
--\3*x /
dx      
ddx3x7\frac{d}{d x} 3 x^{7}
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: x7x^{7} goes to 7x67 x^{6}

    So, the result is: 21x621 x^{6}


The answer is:

21x621 x^{6}

The graph
02468-8-6-4-2-1010-5000000050000000
The first derivative [src]
    6
21*x 
21x621 x^{6}
The second derivative [src]
     5
126*x 
126x5126 x^{5}
The third derivative [src]
     4
630*x 
630x4630 x^{4}
7-th derivative [src]
15120
1512015120
The graph
Derivative of 3x^7