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

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

Function f() - derivative -N order at the point
v

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The solution

You have entered [src] 
       / 3      \
log(6)*\x  - 4*x/
(x3−4x)log⁡(6)\left(x^{3} - 4 x\right) \log{\left(6 \right)}
Transform
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Differentiate x3−4xx^{3} - 4 x term by term:

      1. Apply the power rule: x3x^{3} goes to 3x23 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: xx goes to 11

        So, the result is: −4-4

      The result is: 3x2−43 x^{2} - 4

    So, the result is: (3x2−4)log⁡(6)\left(3 x^{2} - 4\right) \log{\left(6 \right)}

The answer is:

(3x2−4)log⁡(6)\left(3 x^{2} - 4\right) \log{\left(6 \right)}

The graph
02468-8-6-4-2-1010-50005000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
/        2\       
\-4 + 3*x /*log(6)
(3x2−4)log⁡(6)\left(3 x^{2} - 4\right) \log{\left(6 \right)}
Simplify
The second derivative [src] 
6*x*log(6)
6xlog⁡(6)6 x \log{\left(6 \right)}
Simplify
The third derivative [src] 
6*log(6)
6log⁡(6)6 \log{\left(6 \right)}
Simplify
The graph
Derivative of log(6)(x^3-4x)
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