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y=x²+5x-8
The derivative of the function/ y=x²+5x-8

Derivative of y=x²+5x-8

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

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The solution

You have entered [src] 
 2          
x  + 5*x - 8
x2+5x−8x^{2} + 5 x - 8 
d / 2          \
--\x  + 5*x - 8/
dx
ddx(x2+5x−8)\frac{d}{d x} \left(x^{2} + 5 x - 8\right)
Transform
Detail solution

  1. Differentiate x2+5x−8x^{2} + 5 x - 8 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

    3. The derivative of the constant (−1)8\left(-1\right) 8 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
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
5 + 2*x
2x+52 x + 5
Simplify
The second derivative [src] 
2
22
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of y=x²+5x-8
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