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sin(x)+3
The derivative of the function/ sin(x)+3

Derivative of sin(x)+3

Function f() - derivative -N order at the point
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The graph:

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The solution

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

  1. Differentiate sin⁡(x)+3\sin{\left(x \right)} + 3 term by term:

    1. The derivative of sine is cosine:

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

    2. The derivative of the constant 33 is zero.

    The result is: cos⁡(x)\cos{\left(x \right)}

The answer is:

cos⁡(x)\cos{\left(x \right)}

The graph
02468-8-6-4-2-10105-5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
cos(x)
cos⁡(x)\cos{\left(x \right)}
Simplify
The second derivative [src] 
-sin(x)
−sin⁡(x)- \sin{\left(x \right)}
Simplify
The third derivative [src] 
-cos(x)
−cos⁡(x)- \cos{\left(x \right)}
Simplify
The graph
Derivative of sin(x)+3
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