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23*sin(x)-26x+5
The derivative of the function/ 23*sin(x)-26x+5

Derivative of 23*sin(x)-26x+5

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

You have entered [src] 
23*sin(x) - 26*x + 5
−26x+23sin⁡(x)+5- 26 x + 23 \sin{\left(x \right)} + 5 
d                       
--(23*sin(x) - 26*x + 5)
dx
ddx(−26x+23sin⁡(x)+5)\frac{d}{d x} \left(- 26 x + 23 \sin{\left(x \right)} + 5\right)
Transform
Detail solution

  1. Differentiate −26x+23sin⁡(x)+5- 26 x + 23 \sin{\left(x \right)} + 5 term by term:

    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: 23cos⁡(x)23 \cos{\left(x \right)}

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

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

        1. Apply the power rule: xx goes to 11

        So, the result is: 2626

      So, the result is: −26-26

    3. The derivative of the constant 55 is zero.

    The result is: 23cos⁡(x)−2623 \cos{\left(x \right)} - 26

The answer is:

23cos⁡(x)−2623 \cos{\left(x \right)} - 26

The graph
02468-8-6-4-2-1010-500500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-26 + 23*cos(x)
23cos⁡(x)−2623 \cos{\left(x \right)} - 26
Simplify
The second derivative [src] 
-23*sin(x)
−23sin⁡(x)- 23 \sin{\left(x \right)}
Simplify
The third derivative [src] 
-23*cos(x)
−23cos⁡(x)- 23 \cos{\left(x \right)}
Simplify
The graph
Derivative of 23*sin(x)-26x+5
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