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The derivative of the function/ (log(3))*sin(x)

Derivative of (log(3))*sin(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
log(3)*sin(x)
log⁡(3)sin⁡(x)\log{\left(3 \right)} \sin{\left(x \right)} 
log(3)*sin(x)
Detail solution

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

    1. The derivative of sine is cosine:

      ddxsin⁡(x)=cos⁡(x)\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}

    So, the result is: log⁡(3)cos⁡(x)\log{\left(3 \right)} \cos{\left(x \right)}

The answer is:

log⁡(3)cos⁡(x)\log{\left(3 \right)} \cos{\left(x \right)}

The graph
02468-8-6-4-2-10102.5-2.5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
cos(x)*log(3)
log⁡(3)cos⁡(x)\log{\left(3 \right)} \cos{\left(x \right)}
Simplify
The second derivative [src] 
-log(3)*sin(x)
−log⁡(3)sin⁡(x)- \log{\left(3 \right)} \sin{\left(x \right)}
Simplify
The third derivative [src] 
-cos(x)*log(3)
−log⁡(3)cos⁡(x)- \log{\left(3 \right)} \cos{\left(x \right)}
Simplify
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