Differentiate w.r.t. x
\frac{243}{14\sqrt{x}}
Evaluate
\frac{243\sqrt{x}}{7}
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{243}{7}x^{\frac{1}{2}})
Calculate 3 to the power of 5 and get 243.
\frac{1}{2}\times \frac{243}{7}x^{\frac{1}{2}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{243}{14}x^{\frac{1}{2}-1}
Multiply \frac{1}{2} times \frac{243}{7} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
\frac{243}{14}x^{-\frac{1}{2}}
Subtract 1 from \frac{1}{2}.
\frac{243}{7}x^{\frac{1}{2}}
Calculate 3 to the power of 5 and get 243.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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