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Derivative of (1+sqrt(x))/(1-sqrt(x))
Graphing y =:
-x^2-2x+5
Canonical form:
-x^2-2x+5
Identical expressions
y=-x^ two -2x+ five
y equally minus x squared minus 2x plus 5
y equally minus x to the power of two minus 2x plus five
y=-x2-2x+5
y=-x²-2x+5
y=-x to the power of 2-2x+5
Similar expressions
y=-x^2+2x+5
y=-x^2-2x-5
y=+x^2-2x+5

The derivative of the function/ y=-x^2-2x+5

Derivative of y=-x^2-2x+5

The solution

You have entered [src]

   2          
- x  - 2*x + 5

$$- x^{2} - 2 x + 5$$

d /   2          \
--\- x  - 2*x + 5/
dx

$$\frac{d}{d x} \left(- x^{2} - 2 x + 5\right)$$

Transform

Detail solution

Differentiate $- x^{2} - 2 x + 5$ 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: $x^{2}$ goes to $2 x$
  So, the result is: $- 2 x$
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: $2$
  So, the result is: $-2$
3. The derivative of the constant $5$ is zero.
The result is: $- 2 x - 2$

The answer is:

$- 2 x - 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2 - 2*x

$$- 2 x - 2$$

Simplify

The second derivative [src]

-2

$$-2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=-x^2-2x+5