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Derivative of:
Derivative of x^6/6
Derivative of ln(1-x)
Derivative of log(x^2+5)
Derivative of ln(-x)
Graphing y =:
2x^3+3x^2-1
Identical expressions
two x^ three +3x^2- one
2x cubed plus 3x squared minus 1
two x to the power of three plus 3x squared minus one
2x3+3x2-1
2x³+3x²-1
2x to the power of 3+3x to the power of 2-1
Similar expressions
2x^3+3x^2+1
2x^3-3x^2-1

The derivative of the function/ 2x^3+3x^2-1

Derivative of 2x^3+3x^2-1

The solution

You have entered [src]

   3      2    
2*x  + 3*x  - 1

$$2 x^{3} + 3 x^{2} - 1$$

d /   3      2    \
--\2*x  + 3*x  - 1/
dx

$$\frac{d}{d x} \left(2 x^{3} + 3 x^{2} - 1\right)$$

Transform

Detail solution

Differentiate $2 x^{3} + 3 x^{2} - 1$ 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: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $6 x^{2}$
2. 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: $6 x$
3. The derivative of the constant $\left(-1\right) 1$ is zero.
The result is: $6 x^{2} + 6 x$
Now simplify:

$6 x \left(x + 1\right)$

The answer is:

$6 x \left(x + 1\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
6*x + 6*x

$$6 x^{2} + 6 x$$

Simplify

The second derivative [src]

6*(1 + 2*x)

$$6 \cdot \left(2 x + 1\right)$$

Simplify

The third derivative [src]

$$12$$

Simplify

The graph

Derivative of 2x^3+3x^2-1