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
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How to use it?
- Derivative of:
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Derivative of x^3+2
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Derivative of x^2-7*x
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Derivative of tan(t)
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Derivative of sqrt(x/2)
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Identical expressions
- sqrt(x/ two)
- square root of (x divide by 2)
- square root of (x divide by two)
- √(x/2)
- sqrtx/2
- sqrt(x divide by 2)
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Similar expressions
- (6*arcsin(sqrt(x)/2))-((6+x)/2)
- y=sqrt(x/2-sin(x/2))
- sqrt(x)/(2*x-1)
- sqrt(x)/(2x-1)×(x^5+8)
- sqrt(x)/(2*x+1)
Derivative of sqrt(x/2)
The solution
Detail solution
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Let .
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Apply the power rule: goes to
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Then, apply the chain rule. Multiply by :
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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 of the chain rule is:
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The answer is:
The first derivative
[src]
/ ___ ___\
|\/ 2 *\/ x |
|-----------|
\ 2 /
-------------
2*x
$$\frac{\frac{1}{2} \sqrt{2} \sqrt{x}}{2 x}$$
The graph