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Derivative of:
Derivative of x^2*sin(x)
Derivative of x*asin(x)
Derivative of 2*sin(x)*cos(x)
Derivative of 1/(x^2)
Integral of d{x}:
(5-x)^2
Canonical form:
(5-x)^2
Inequation:
(5-x)^2
Identical expressions
(five -x)^ two
(5 minus x) squared
(five minus x) to the power of two
(5-x)2
5-x2
(5-x)²
(5-x) to the power of 2
5-x^2
Similar expressions
y=x^5-x^2:2+10
(x^2)*(sqrt(5-x^2))
(5+x)^2
x^5-x^2

The derivative of the function/ (5-x)^2

Derivative of (5-x)^2

The solution

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       2
(5 - x)

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

(5 - x)^2

Detail solution

Let $u = 5 - x$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(5 - x\right)$ :
1. Differentiate $5 - x$ term by term:
  1. The derivative of the constant $5$ is zero.
  2. 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: $-1$
  The result is: $-1$
The result of the chain rule is:

$2 x - 10$

The answer is:

$2 x - 10$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-10 + 2*x

$$2 x - 10$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify