Differentiate w.r.t. x
-10x
Evaluate
-5x^{2}
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\frac{\mathrm{d}}{\mathrm{d}x}(-5x^{2})
Combine 10x^{2} and -15x^{2} to get -5x^{2}.
2\left(-5\right)x^{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 10x^{2} and -15x^{2} to get -5x^{2}.
Examples
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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