Mister Exam
Other calculators
- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Derivative of:
-
Derivative of 4*e^(2*x)
-
Derivative of -(3*pi*cos(pi*t/6))/2
-
Derivative of (2x-1)^3
-
Derivative of (1-2*x)^3
- Integral of d{x}:
-
cosx/1+sinx
-
Identical expressions
- cosx/ one +sinx
- co sinus of e of x divide by 1 plus sinus of x
- co sinus of e of x divide by one plus sinus of x
- cosx divide by 1+sinx
-
Similar expressions
- y=sin^-1(cos(x)/1+sin(x))
- cos(x)/(1+sin(x))
- cosx/1-sinx
- cos(x)/(1+(sin(x))^2)
- cosx/(1+sinx)
Derivative of cosx/1+sinx
The solution
You have entered
[src]
cos(x) ------ + sin(x) 1
$$\sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{1}$$
d /cos(x) \ --|------ + sin(x)| dx\ 1 /
$$\frac{d}{d x} \left(\sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{1}\right)$$
Detail solution
-
Differentiate term by term:
-
The derivative of a constant times a function is the constant times the derivative of the function.
-
The derivative of cosine is negative sine:
So, the result is:
-
-
The derivative of sine is cosine:
The result is:
-
The answer is:
The second derivative
[src]
-(cos(x) + sin(x))
$$- (\sin{\left(x \right)} + \cos{\left(x \right)})$$
The graph