Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of e^(2-x)
Derivative of (3-2*x)*cos(x)+2*sin(x)+4
Derivative of e^sin(x)^(2)
Derivative of (cos(x))^sin(x)
Identical expressions
log(six)(x^ three -4x)
logarithm of (6)(x cubed minus 4x)
logarithm of (six)(x to the power of three minus 4x)
log(6)(x3-4x)
log6x3-4x
log(6)(x³-4x)
log(6)(x to the power of 3-4x)
log6x^3-4x
Similar expressions
log(6)(x^3+4x)

The derivative of the function/ log(6)(x^3-4x)

Derivative of log(6)(x^3-4x)

The solution

You have entered [src]

       / 3      \
log(6)*\x  - 4*x/

$$\left(x^{3} - 4 x\right) \log{\left(6 \right)}$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Differentiate $x^{3} - 4 x$ term by term:
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  2. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x$ goes to $1$
    So, the result is: $-4$
  The result is: $3 x^{2} - 4$
So, the result is: $\left(3 x^{2} - 4\right) \log{\left(6 \right)}$

The answer is:

$\left(3 x^{2} - 4\right) \log{\left(6 \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

/        2\       
\-4 + 3*x /*log(6)

$$\left(3 x^{2} - 4\right) \log{\left(6 \right)}$$

Simplify

The second derivative [src]

6*x*log(6)

$$6 x \log{\left(6 \right)}$$

Simplify

The third derivative [src]

6*log(6)

$$6 \log{\left(6 \right)}$$

Simplify

The graph

Derivative of log(6)(x^3-4x)