Differentiate w.r.t. x
-8x
Evaluate
-4x^{2}
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\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{2})
Combine x^{2} and -5x^{2} to get -4x^{2}.
2\left(-4\right)x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
-8x^{2-1}
Multiply 2 times -4.
-8x^{1}
Subtract 1 from 2.
-8x
For any term t, t^{1}=t.
-4x^{2}
Combine x^{2} and -5x^{2} to get -4x^{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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