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x^2+3x-5

Derivative of x^2+3x-5

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 2          
x  + 3*x - 5
x2+3x5x^{2} + 3 x - 5
d / 2          \
--\x  + 3*x - 5/
dx              
ddx(x2+3x5)\frac{d}{d x} \left(x^{2} + 3 x - 5\right)
Detail solution
  1. Differentiate x2+3x5x^{2} + 3 x - 5 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: 33

    3. The derivative of the constant (1)5\left(-1\right) 5 is zero.

    The result is: 2x+32 x + 3


The answer is:

2x+32 x + 3

The graph
02468-8-6-4-2-1010-200200
The first derivative [src]
3 + 2*x
2x+32 x + 3
The second derivative [src]
2
22
The third derivative [src]
0
00
The graph
Derivative of x^2+3x-5