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Derivative of (log(7))*((8*x^2)+5)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
       /   2    \
log(7)*\8*x  + 5/
$$\left(8 x^{2} + 5\right) \log{\left(7 \right)}$$
log(7)*(8*x^2 + 5)
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Differentiate 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: goes to

        So, the result is:

      2. The derivative of the constant is zero.

      The result is:

    So, the result is:


The answer is:

The graph
The first derivative [src]
16*x*log(7)
$$16 x \log{\left(7 \right)}$$
The second derivative [src]
16*log(7)
$$16 \log{\left(7 \right)}$$
3-я производная [src]
0
$$0$$
The third derivative [src]
0
$$0$$