Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of 2x^3-3x^2+4x-5
Derivative of y=x^4•logx
Derivative of y=ln(coshx)
Derivative of y'=asinx+bcosx
Identical expressions
two x^ three -3x^2+4x- five
2x cubed minus 3x squared plus 4x minus 5
two x to the power of three minus 3x squared plus 4x minus five
2x3-3x2+4x-5
2x³-3x²+4x-5
2x to the power of 3-3x to the power of 2+4x-5
Similar expressions
2x^3-3x^2+4x+5
2x^3-3x^2-4x-5
2x^3+3x^2+4x-5

The derivative of the function/ 2x^3-3x^2+4x-5

Derivative of 2x^3-3x^2+4x-5

The solution

You have entered [src]

   3      2          
2*x  - 3*x  + 4*x - 5

$$2 x^{3} - 3 x^{2} + 4 x - 5$$

d /   3      2          \
--\2*x  - 3*x  + 4*x - 5/
dx

$$\frac{d}{d x} \left(2 x^{3} - 3 x^{2} + 4 x - 5\right)$$

Transform

Detail solution

Differentiate $2 x^{3} - 3 x^{2} + 4 x - 5$ 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. 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: $6 x$
  So, the result is: $- 6 x$
3. 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: $4$
4. The derivative of the constant $\left(-1\right) 5$ is zero.
The result is: $6 x^{2} - 6 x + 4$

The answer is:

$6 x^{2} - 6 x + 4$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

             2
4 - 6*x + 6*x

$$6 x^{2} - 6 x + 4$$

Simplify

The second derivative [src]

6*(-1 + 2*x)

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

Simplify

3-th derivative [src]

$$12$$

Simplify

The third derivative [src]

$$12$$

Simplify

The graph

Derivative of 2x^3-3x^2+4x-5