Mister Exam

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The derivative of the function/ 3x^2-4x

Derivative of 3x^2-4x

The solution

You have entered [src]

   2      
3*x  - 4*x

$$3 x^{2} - 4 x$$

d /   2      \
--\3*x  - 4*x/
dx

$$\frac{d}{d x} \left(3 x^{2} - 4 x\right)$$

Transform

Detail solution

Differentiate $3 x^{2} - 4 x$ 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: $6 x$
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: $4$
  So, the result is: $-4$
The result is: $6 x - 4$

The answer is:

$6 x - 4$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-4 + 6*x

$$6 x - 4$$

Simplify

The second derivative [src]

$$6$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of 3x^2-4x