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Identical expressions
y=x^ two -7x+ three
y equally x squared minus 7x plus 3
y equally x to the power of two minus 7x plus three
y=x2-7x+3
y=x²-7x+3
y=x to the power of 2-7x+3
Similar expressions
y=x^2-7x-3
y=x^2+7x+3

The derivative of the function/ y=x^2-7x+3

Derivative of y=x^2-7x+3

The solution

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 2          
x  - 7*x + 3

\left(x^{2} - 7 x\right) + 3

x^2 - 7*x + 3

Detail solution

Differentiate $\left(x^{2} - 7 x\right) + 3$ term by term:
1. Differentiate $x^{2} - 7 x$ term by term:
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  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: $-7$
  The result is: $2 x - 7$
2. The derivative of the constant $3$ is zero.
The result is: $2 x - 7$

The answer is:

2 x - 7

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-7 + 2*x

2 x - 7

Simplify

The second derivative [src]

2

Simplify

The third derivative [src]

0

Simplify

The graph

Derivative of y=x^2-7x+3