Mister Exam

Other calculators

2sinx-1
The derivative of the function/ 2sinx-1

Derivative of 2sinx-1

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
2*sin(x) - 1
2sin⁡(x)−12 \sin{\left(x \right)} - 1 
d               
--(2*sin(x) - 1)
dx
ddx(2sin⁡(x)−1)\frac{d}{d x} \left(2 \sin{\left(x \right)} - 1\right)
Transform
Detail solution

  1. Differentiate 2sin⁡(x)−12 \sin{\left(x \right)} - 1 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: 2cos⁡(x)2 \cos{\left(x \right)}

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

    The result is: 2cos⁡(x)2 \cos{\left(x \right)}

The answer is:

2cos⁡(x)2 \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] 
2*cos(x)
2cos⁡(x)2 \cos{\left(x \right)}
Simplify
The second derivative [src] 
-2*sin(x)
−2sin⁡(x)- 2 \sin{\left(x \right)}
Simplify
The third derivative [src] 
-2*cos(x)
−2cos⁡(x)- 2 \cos{\left(x \right)}
Simplify
The graph
Derivative of 2sinx-1
    © Mister Exam – Calculator