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Dérivée:
Dérivée y=2x-1
Dérivée x-ln(1+x)
Dérivée x*(1-x)
Dérivée f(x)=1/4x^4+x
Expressions identiques
-sqrtx^ two -8x+ seventeen
moins racine carrée de x au carré moins 8x plus 17
moins racine carrée de x à la puissance two moins 8x plus seventeen
-√x^2-8x+17
-sqrtx2-8x+17
-sqrtx²-8x+17
-sqrtx à la puissance 2-8x+17
Expressions similaires
-sqrtx^2+8x+17
-sqrtx^2-8x-17
sqrtx^2-8x+17

Dérivée de la fonction/ -sqrtx^2-8x+17

Dérivée -sqrtx^2-8x+17

Solution

You have entered [src]

       2           
    ___            
- \/ x   - 8*x + 17

$$- \left(\sqrt{x}\right)^{2} - 8 x + 17$$

  /       2           \
d |    ___            |
--\- \/ x   - 8*x + 17/
dx

$$\frac{d}{d x} \left(- \left(\sqrt{x}\right)^{2} - 8 x + 17\right)$$

Transform

Detail solution

Differentiate $- \left(\sqrt{x}\right)^{2} - 8 x + 17$ term by term:
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Let $u = \sqrt{x}$ .
  2. Apply the power rule: $u^{2}$ goes to $2 u$
  3. Then, apply the chain rule. Multiply by $\frac{d}{d x} \sqrt{x}$ :
    1. Apply the power rule: $\sqrt{x}$ goes to $\frac{1}{2 \sqrt{x}}$
    The result of the chain rule is:
    
    $1$
  So, the result is: $-1$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x$ goes to $1$
    So, the result is: $8$
  So, the result is: $-8$
3. The derivative of the constant $17$ is zero.
The result is: $-9$

The answer is:

$-9$

The first derivative [src]

-9

$$-9$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify