Mister Exam

Other calculators

Derivative of -x^2+6x-5

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   2          
- x  + 6*x - 5
(x2+6x)5\left(- x^{2} + 6 x\right) - 5
-x^2 + 6*x - 5
Detail solution
  1. Differentiate (x2+6x)5\left(- x^{2} + 6 x\right) - 5 term by term:

    1. Differentiate x2+6x- x^{2} + 6 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: x2x^{2} goes to 2x2 x

        So, the result is: 2x- 2 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: 66

      The result is: 62x6 - 2 x

    2. The derivative of the constant 5-5 is zero.

    The result is: 62x6 - 2 x


The answer is:

62x6 - 2 x

The graph
02468-8-6-4-2-1010-200200
The first derivative [src]
6 - 2*x
62x6 - 2 x
The second derivative [src]
-2
2-2
The third derivative [src]
0
00