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Derivative of:
Derivative of e^(-x)
Derivative of e^x^2
Derivative of tg2x
Derivative of e^(6*x)
Canonical form:
(4x-3)^2
Equation:
(4x-3)^2
Graphing y =:
(4x-3)^2
Identical expressions
(4x- three)^ two
(4x minus 3) squared
(4x minus three) to the power of two
(4x-3)2
4x-32
(4x-3)²
(4x-3) to the power of 2
4x-3^2
Similar expressions
(4x+3)^2

The derivative of the function/ (4x-3)^2

Derivative of (4x-3)^2

The solution

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         2
(4*x - 3)

\left(4 x - 3\right)^{2}

(4*x - 3)^2

Detail solution

Let $u = 4 x - 3$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(4 x - 3\right)$ :
1. Differentiate $4 x - 3$ 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: $x$ goes to $1$
    So, the result is: $4$
  2. The derivative of the constant $-3$ is zero.
  The result is: $4$
The result of the chain rule is:

$32 x - 24$

The answer is:

32 x - 24

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-24 + 32*x

32 x - 24

Simplify

The second derivative [src]

32

Simplify

The third derivative [src]

0

Simplify

The graph

Derivative of (4x-3)^2