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f(x)=2x^3-4x^2-5

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Derivative of:
Derivative of 4x^3
Derivative of y=7x+3
Derivative of xsin^2x
Derivative of arcsin(x)^sqrt(1-x^2)
Sum of series:
f(x)
Integral of d{x}:
f(x)
f(x)
Identical expressions
f(x)= two x^ three -4x^2- five
f(x) equally 2x cubed minus 4x squared minus 5
f(x) equally two x to the power of three minus 4x squared minus five
f(x)=2x3-4x2-5
fx=2x3-4x2-5
f(x)=2x³-4x²-5
f(x)=2x to the power of 3-4x to the power of 2-5
fx=2x^3-4x^2-5
Similar expressions
2*x^3-4*x^2-5*x+3
f(x)=2x^3-4x^2+5
f(x)=2x^3+4x^2-5

The derivative of the function/ f(x)=2x^3-4x^2-5

Derivative of f(x)=2x^3-4x^2-5

The solution

You have entered [src]

   3      2    
2*x  - 4*x  - 5

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

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

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

Transform

Detail solution

Differentiate $2 x^{3} - 4 x^{2} - 5$ 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: $8 x$
  So, the result is: $- 8 x$
3. The derivative of the constant $\left(-1\right) 5$ is zero.
The result is: $6 x^{2} - 8 x$
Now simplify:

$2 x \left(3 x - 4\right)$

The answer is:

$2 x \left(3 x - 4\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          2
-8*x + 6*x

$$6 x^{2} - 8 x$$

Simplify

The second derivative [src]

4*(-2 + 3*x)

$$4 \cdot \left(3 x - 2\right)$$

Simplify

The third derivative [src]

$$12$$

Simplify

The graph

Derivative of f(x)=2x^3-4x^2-5