Mister Exam

Derivative of x^2+5x-4

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

The graph:

from to

Piecewise:

The solution

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 2          
x  + 5*x - 4
(x2+5x)4\left(x^{2} + 5 x\right) - 4
x^2 + 5*x - 4
Detail solution
  1. Differentiate (x2+5x)4\left(x^{2} + 5 x\right) - 4 term by term:

    1. Differentiate x2+5xx^{2} + 5 x term by term:

      1. Apply the power rule: x2x^{2} goes to 2x2 x

      2. 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: 55

      The result is: 2x+52 x + 5

    2. The derivative of the constant 4-4 is zero.

    The result is: 2x+52 x + 5


The answer is:

2x+52 x + 5

The graph
02468-8-6-4-2-1010-200200
The first derivative [src]
5 + 2*x
2x+52 x + 5
The second derivative [src]
2
22
The third derivative [src]
0
00