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Derivative of:
Derivative of y=3x^2-5x+2
Derivative of -y
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Derivative of ln(sin(4*x))
Graphing y =:
3x^2-5x+2
Identical expressions
y=3x^ two -5x+ two
y equally 3x squared minus 5x plus 2
y equally 3x to the power of two minus 5x plus two
y=3x2-5x+2
y=3x²-5x+2
y=3x to the power of 2-5x+2
Similar expressions
y=3x^2+5x+2
y=3x^2-5x-2

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

Derivative of y=3x^2-5x+2

The solution

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   2          
3*x  - 5*x + 2

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

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

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

Transform

Detail solution

Differentiate $3 x^{2} - 5 x + 2$ 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: $6 x$
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: $5$
  So, the result is: $-5$
3. The derivative of the constant $2$ is zero.
The result is: $6 x - 5$

The answer is:

$6 x - 5$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-5 + 6*x

$$6 x - 5$$

Simplify

The second derivative [src]

$$6$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=3x^2-5x+2