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Derivative of:
Derivative of arctg(1/x)
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Derivative of cot(1/x)
Sum of series:
f(x)
Integral of d{x}:
f(x)
f(x)
Identical expressions
f(x)=5x^ two -2x+ three
f(x) equally 5x squared minus 2x plus 3
f(x) equally 5x to the power of two minus 2x plus three
f(x)=5x2-2x+3
fx=5x2-2x+3
f(x)=5x²-2x+3
f(x)=5x to the power of 2-2x+3
fx=5x^2-2x+3
Similar expressions
f*x/((g*x))
f(x)=5x^2-2x-3
f(x)=5x^2+2x+3

The derivative of the function/ f(x)=5x^2-2x+3

Derivative of f(x)=5x^2-2x+3

The solution

You have entered [src]

   2          
5*x  - 2*x + 3

$$5 x^{2} - 2 x + 3$$

d /   2          \
--\5*x  - 2*x + 3/
dx

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

Transform

Detail solution

Differentiate $5 x^{2} - 2 x + 3$ 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: $x^{2}$ goes to $2 x$
  So, the result is: $10 x$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  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: $2$
  So, the result is: $-2$
3. The derivative of the constant $3$ is zero.
The result is: $10 x - 2$

The answer is:

$10 x - 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2 + 10*x

$$10 x - 2$$

Simplify

The second derivative [src]

$$10$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of f(x)=5x^2-2x+3