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y=log(5)*(3x^2-5)

Derivative of y=log(5)*(3x^2-5)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
       /   2    \
log(5)*\3*x  - 5/
$$\left(3 x^{2} - 5\right) \log{\left(5 \right)}$$
d /       /   2    \\
--\log(5)*\3*x  - 5//
dx                   
$$\frac{d}{d x} \left(3 x^{2} - 5\right) \log{\left(5 \right)}$$
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]
6*x*log(5)
$$6 x \log{\left(5 \right)}$$
The second derivative [src]
6*log(5)
$$6 \log{\left(5 \right)}$$
The third derivative [src]
0
$$0$$
The graph
Derivative of y=log(5)*(3x^2-5)