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 e^-1
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Derivative of (x^5+1)
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Derivative of log(5*x)
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Derivative of e^(-2x)
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Identical expressions
- y=sinx-3sqrtx
- y equally sinus of x minus 3 square root of x
- y=sinx-3√x
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Similar expressions
- y=sinx+3sqrtx
- y=e^x*sinx-3sqrt(x)
- y=e^x*sin(x)-3*sqrt(x)
Derivative of y=sinx-3sqrtx
The solution
You have entered
[src]
___ sin(x) - 3*\/ x
$$- 3 \sqrt{x} + \sin{\left(x \right)}$$
sin(x) - 3*sqrt(x)
Detail solution
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Differentiate term by term:
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The derivative of sine is cosine:
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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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Apply the power rule: goes to
So, the result is:
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The result is:
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The answer is:
The first derivative
[src]
3
- ------- + cos(x)
___
2*\/ x
$$\cos{\left(x \right)} - \frac{3}{2 \sqrt{x}}$$
The second derivative
[src]
3
-sin(x) + ------
3/2
4*x
$$- \sin{\left(x \right)} + \frac{3}{4 x^{\frac{3}{2}}}$$
The third derivative
[src]
/ 9 \ -|------ + cos(x)| | 5/2 | \8*x /
$$- (\cos{\left(x \right)} + \frac{9}{8 x^{\frac{5}{2}}})$$
The graph