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Derivative of:
Derivative of (x-3)^4
Derivative of (x-7)^2
Derivative of x^2+4
Derivative of |x|/x
Canonical form:
(x-7)^2
Equation:
(x-7)^2
Identical expressions
(x- seven)^ two
(x minus 7) squared
(x minus seven) to the power of two
(x-7)2
x-72
(x-7)²
(x-7) to the power of 2
x-7^2
Similar expressions
(x+7)^2

The derivative of the function/ (x-7)^2

Derivative of (x-7)^2

The solution

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       2
(x - 7)

$$\left(x - 7\right)^{2}$$

d /       2\
--\(x - 7) /
dx

$$\frac{d}{d x} \left(x - 7\right)^{2}$$

Transform

Detail solution

Let $u = x - 7$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(x - 7\right)$ :
1. Differentiate $x - 7$ term by term:
  1. Apply the power rule: $x$ goes to $1$
  2. The derivative of the constant $\left(-1\right) 7$ is zero.
  The result is: $1$
The result of the chain rule is:

$2 x - 14$

The answer is:

$2 x - 14$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-14 + 2*x

$$2 x - 14$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of (x-7)^2