Evaluate
\frac{3x}{10}
Differentiate w.r.t. x
\frac{3}{10} = 0.3
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\frac{1}{5}x+\frac{1}{10}x
Divide \frac{4}{5}x by 8 to get \frac{1}{10}x.
\frac{3}{10}x
Combine \frac{1}{5}x and \frac{1}{10}x to get \frac{3}{10}x.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{5}x+\frac{1}{10}x)
Divide \frac{4}{5}x by 8 to get \frac{1}{10}x.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{10}x)
Combine \frac{1}{5}x and \frac{1}{10}x to get \frac{3}{10}x.
\frac{3}{10}x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{3}{10}x^{0}
Subtract 1 from 1.
\frac{3}{10}\times 1
For any term t except 0, t^{0}=1.
\frac{3}{10}
For any term t, t\times 1=t and 1t=t.
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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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