Mister Exam
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- 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
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How to use it?
- Derivative of:
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Derivative of x^2-7*x
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Derivative of (sin(x))^2+(cos(x))^2
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Derivative of sqrt(y)
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Derivative of sin(2*t)
- Integral of d{x}:
- sinx/1+cosx
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Identical expressions
- y=sinx/ one +cosx
- y equally sinus of x divide by 1 plus co sinus of e of x
- y equally sinus of x divide by one plus co sinus of e of x
- y=sinx divide by 1+cosx
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Similar expressions
- y=(sinx)/(1+cosx)
- y=sinx/(1+cosx)
- y=sinx/1-cosx
- (sin(x)/(1+cos(x))^2)^3
- sinx/(1+cosx)
Derivative of y=sinx/1+cosx
The solution
You have entered
[src]
sin(x) ------ + cos(x) 1
$$\frac{\sin{\left(x \right)}}{1} + \cos{\left(x \right)}$$
d /sin(x) \ --|------ + cos(x)| dx\ 1 /
$$\frac{d}{d x} \left(\frac{\sin{\left(x \right)}}{1} + \cos{\left(x \right)}\right)$$
Detail solution
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Differentiate term by term:
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The derivative of a constant times a function is the constant times the derivative of the function.
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The derivative of sine is cosine:
So, the result is:
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The derivative of cosine is negative sine:
The result is:
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The answer is:
The second derivative
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-(cos(x) + sin(x))
$$- (\sin{\left(x \right)} + \cos{\left(x \right)})$$
The graph