Mister Exam

Derivative of (3x+5/7x-4)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
      5*x    
3*x + --- - 4
       7     
$$\left(\frac{5 x}{7} + 3 x\right) - 4$$
3*x + 5*x/7 - 4
Detail solution
  1. Differentiate term by term:

    1. Differentiate 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: goes to

        So, the result is:

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

        1. Apply the power rule: goes to

        So, the result is:

      The result is:

    2. The derivative of the constant is zero.

    The result is:


The answer is:

The graph
The first derivative [src]
26/7
$$\frac{26}{7}$$
The second derivative [src]
0
$$0$$
The third derivative [src]
0
$$0$$