Mister Exam

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Derivative of y=log^3√√12x

You have entered [src]

   3/  _____\  
log \\/ 412 /*x

$$x \log{\left(\sqrt{412} \right)}^{3}$$

d /   3/  _____\  \
--\log \\/ 412 /*x/
dx

$$\frac{d}{d x} x \log{\left(\sqrt{412} \right)}^{3}$$

Transform

Detail solution

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: $\log{\left(\sqrt{412} \right)}^{3}$
Now simplify:

$\left(\log{\left(2 \right)} + \frac{\log{\left(103 \right)}}{2}\right)^{3}$

The answer is:

$\left(\log{\left(2 \right)} + \frac{\log{\left(103 \right)}}{2}\right)^{3}$

The first derivative [src]

   3/  _____\
log \\/ 412 /

$$\log{\left(\sqrt{412} \right)}^{3}$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify