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Derivative of:
Derivative of f(x)=5
Derivative of y=x^3-8x^2+10x-4
Derivative of y=3x^3
Derivative of y=(x^3-3)(x^2+4x+1)
Identical expressions
four *x- seven -(six *x- eight)
4 multiply by x minus 7 minus (6 multiply by x minus 8)
four multiply by x minus seven minus (six multiply by x minus eight)
4x-7-(6x-8)
4x-7-6x-8
Similar expressions
4*x-7-(6*x+8)
4*x-7+(6*x-8)
4*x+7-(6*x-8)

The derivative of the function/ 4*x-7-(6*x-8)

Derivative of 4x-7-(6x-8)

The solution

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4*x - 7 + -6*x + 8

$$\left(8 - 6 x\right) + \left(4 x - 7\right)$$

4*x - 7 - 6*x + 8

Detail solution

Differentiate $\left(8 - 6 x\right) + \left(4 x - 7\right)$ term by term:
1. Differentiate $4 x - 7$ 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 $-7$ is zero.
  The result is: $4$
2. Differentiate $8 - 6 x$ 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: $-6$
  2. The derivative of the constant $8$ is zero.
  The result is: $-6$
The result is: $-2$

The answer is:

$-2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2

$$-2$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of 4*x-7-(6*x-8)