Differentiate w.r.t. x
4x-6
Evaluate
2x^{2}-6x+9
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}-6x+9)
Calculate 3 to the power of 2 and get 9.
2\times 2x^{2-1}-6x^{1-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
4x^{2-1}-6x^{1-1}
Multiply 2 times 2.
4x^{1}-6x^{1-1}
Subtract 1 from 2.
4x^{1}-6x^{0}
Subtract 1 from 1.
4x-6x^{0}
For any term t, t^{1}=t.
4x-6
For any term t except 0, t^{0}=1.
2x^{2}-6x+9
Calculate 3 to the power of 2 and get 9.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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