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The derivative of the function/ y=log2*(x-1)

Derivative of y=log2*(x-1)

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

The graph:

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The solution

You have entered [src] 
log(2)*(x - 1)
(x−1)log⁡(2)\left(x - 1\right) \log{\left(2 \right)} 
d                 
--(log(2)*(x - 1))
dx
ddx(x−1)log⁡(2)\frac{d}{d x} \left(x - 1\right) \log{\left(2 \right)}
Transform
Detail solution

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

    1. Differentiate x−1x - 1 term by term:

      1. Apply the power rule: xx goes to 11

      2. The derivative of the constant (−1)1\left(-1\right) 1 is zero.

      The result is: 11

    So, the result is: log⁡(2)\log{\left(2 \right)}

The answer is:

log⁡(2)\log{\left(2 \right)}

The first derivative [src] 
log(2)
log⁡(2)\log{\left(2 \right)}
Simplify
The second derivative [src] 
0
00
Simplify
The third derivative [src] 
0
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Simplify
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