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Derivative of:
Derivative of x^2*sqrt(1-x^2)
Derivative of e^x*x^2
Derivative of (x+3)/(x-3)
Derivative of x^3/(x^2-4)
Graphing y =:
2x^2-5x+3
Canonical form:
2x^2-5x+3
Identical expressions
two x^2-5x+ three
2x squared minus 5x plus 3
two x squared minus 5x plus three
2x2-5x+3
2x²-5x+3
2x to the power of 2-5x+3
Similar expressions
2x^2+5x+3
2x^2-5x-3

The derivative of the function/ 2x^2-5x+3

Derivative of 2x^2-5x+3

The solution

You have entered [src]

   2          
2*x  - 5*x + 3

$$\left(2 x^{2} - 5 x\right) + 3$$

2*x^2 - 5*x + 3

Detail solution

Differentiate $\left(2 x^{2} - 5 x\right) + 3$ term by term:
1. Differentiate $2 x^{2} - 5 x$ 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: $x^{2}$ goes to $2 x$
    So, the result is: $4 x$
  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: $-5$
  The result is: $4 x - 5$
2. The derivative of the constant $3$ is zero.
The result is: $4 x - 5$

The answer is:

$4 x - 5$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-5 + 4*x

$$4 x - 5$$

Simplify

The second derivative [src]

$$4$$

Simplify

The third derivative [src]

$$0$$

Simplify