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y=inx+8lgx
The derivative of the function/ y=inx+8lgx

Derivative of y=inx+8lgx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
log(x) + 8*log(x)
log⁡(x)+8log⁡(x)\log{\left(x \right)} + 8 \log{\left(x \right)} 
log(x) + 8*log(x)
Detail solution

  1. Differentiate log⁡(x)+8log⁡(x)\log{\left(x \right)} + 8 \log{\left(x \right)} term by term:

    1. The derivative of log⁡(x)\log{\left(x \right)} is 1x\frac{1}{x}.

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

      1. The derivative of log⁡(x)\log{\left(x \right)} is 1x\frac{1}{x}.

      So, the result is: 8x\frac{8}{x}

    The result is: 9x\frac{9}{x}

The answer is:

9x\frac{9}{x}

The graph
02468-8-6-4-2-1010-200200
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
9
-
x
9x\frac{9}{x}
Simplify
The second derivative [src] 
-9 
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  2
 x
−9x2- \frac{9}{x^{2}}
Simplify
The third derivative [src] 
18
--
 3
x
18x3\frac{18}{x^{3}}
Simplify
The graph
Derivative of y=inx+8lgx
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