Differentiate w.r.t. x
10x
Evaluate
5x^{2}
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\frac{\mathrm{d}}{\mathrm{d}x}(5x^{2})
Combine 4x^{2} and x^{2} to get 5x^{2}.
2\times 5x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
10x^{2-1}
Multiply 2 times 5.
10x^{1}
Subtract 1 from 2.
10x
For any term t, t^{1}=t.
5x^{2}
Combine 4x^{2} and x^{2} to get 5x^{2}.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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