Mister Exam

Derivative of 2x+3/3x-1

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

The graph:

from to

Piecewise:

The solution

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2*x + x - 1
(x+2x)1\left(x + 2 x\right) - 1
2*x + x - 1
Detail solution
  1. Differentiate (x+2x)1\left(x + 2 x\right) - 1 term by term:

    1. Differentiate x+2xx + 2 x term by term:

      1. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: xx goes to 11

        So, the result is: 22

      2. Apply the power rule: xx goes to 11

      The result is: 33

    2. The derivative of the constant 1-1 is zero.

    The result is: 33


The answer is:

33

The graph
02468-8-6-4-2-1010-5050
The first derivative [src]
3
33
The second derivative [src]
0
00
The third derivative [src]
0
00