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Derivative of:
Derivative of x-ln(1+x)
Derivative of x/(1+e^x)
Derivative of (-1-x^2)/x
Derivative of 13*x
Identical expressions
-e^x- three *sin(x)
minus e to the power of x minus 3 multiply by sinus of (x)
minus e to the power of x minus three multiply by sinus of (x)
-ex-3*sin(x)
-ex-3*sinx
-e^x-3sin(x)
-ex-3sin(x)
-ex-3sinx
-e^x-3sinx
Similar expressions
-e^x+3*sin(x)
e^x-3*sin(x)
-e^x-3*sinx

The derivative of the function/ -e^x-3*sin(x)

Derivative of -e^x-3*sin(x)

The solution

You have entered [src]

   x           
- E  - 3*sin(x)

$$- e^{x} - 3 \sin{\left(x \right)}$$

-E^x - 3*sin(x)

Detail solution

Differentiate $- e^{x} - 3 \sin{\left(x \right)}$ 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 $e^{x}$ is itself.
  So, the result is: $- e^{x}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of sine is cosine:
    
    $\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}$
  So, the result is: $- 3 \cos{\left(x \right)}$
The result is: $- e^{x} - 3 \cos{\left(x \right)}$

The answer is:

$- e^{x} - 3 \cos{\left(x \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   x           
- e  - 3*cos(x)

$$- e^{x} - 3 \cos{\left(x \right)}$$

Simplify

The second derivative [src]

   x           
- e  + 3*sin(x)

$$- e^{x} + 3 \sin{\left(x \right)}$$

Simplify

The third derivative [src]

   x           
- e  + 3*cos(x)

$$- e^{x} + 3 \cos{\left(x \right)}$$

Simplify