Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of (x^2-1)/(x*3+1)
Derivative of -x^2
Derivative of 2*x
Derivative of log(cos(x))
Sum of series:
f(x)
Integral of d{x}:
f(x)
f(x)
Graphing y =:
2x^4-x
Identical expressions
f(x)=2x^ four -x
f(x) equally 2x to the power of 4 minus x
f(x) equally 2x to the power of four minus x
f(x)=2x4-x
fx=2x4-x
f(x)=2x⁴-x
fx=2x^4-x
Similar expressions
f(x)=2x^4+x

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

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

The solution

You have entered [src]

   4    
2*x  - x

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

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

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

Transform

Detail solution

Differentiate $2 x^{4} - x$ 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: $x^{4}$ goes to $4 x^{3}$
  So, the result is: $8 x^{3}$
2. 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: $-1$
The result is: $8 x^{3} - 1$

The answer is:

$8 x^{3} - 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        3
-1 + 8*x

$$8 x^{3} - 1$$

Simplify

The second derivative [src]

    2
24*x

$$24 x^{2}$$

Simplify

The third derivative [src]

48*x

$$48 x$$

Simplify

The graph

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